randRange(20, 40) randRange(2, 10) randRange(30, 100) ceil((R - Q) / P) randRange(1,3)

[Click to learn about the “ What? Why? How?" strategy]

To use this strategy, ask yourself these “ What? Why? How?" questions while solving a problem.
What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?
As a reminder to ask yourself these questions, they will sometimes appear in purple.

What if I can’t do it?

Many students are not sure what to say, or think their answer isn’t good. That is fine, as long as you try to think about the question, by typing or saying the answer to yourself.

person(1) vende suscripciones a revistas y gana $P por cada nuevo suscriptor que firma. person(1) gana además un bono semanal de $Q sin importar cuántas suscripciones haya vendido en la semana.

[Click to learn about the “ What? Why? How?" strategy]

To use this strategy, ask yourself these “ What? Why? How?" questions while solving a problem.
What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?
As a reminder to ask yourself these questions, they will sometimes appear in purple.

What if I can’t do it?

Many students are not sure what to say, or think their answer isn’t good. That is fine, as long as you try to think about the question, by typing or saying the answer to yourself.

person(1) vende suscripciones a revistas y gana $P por cada nuevo suscriptor que firma. person(1) gana además un bono semanal de $Q sin importar cuántas suscripciones haya vendido en la semana.

Si person(1) quiere ganar al menos $R esta semana, ¿cuál es el mínimo número de suscripciones que necesita vender hoy?

Si person(1) quiere ganar al menos $R esta semana, ¿cuál es el mínimo número de suscripciones que debe vender?

subscriptions
[$("#guessans").val(),$("#firsttext").val(),$("#secondtext").val()]
var e=X,r=$("<div>").text(e),s=Khan.answerTypes.number.createValidator(r);return s(guess[0])
null!=guess?$("#guessans").val(guess[0]):($("#guessans").val(""),$("#firsttext").length>0&&($("#firsttext").text(""),$("#secondtext").text("")))
null!=guess&&$("#firsttext").length>0&&(null===guess[1]?$("#firsttext").text(""):$("#firsttext").text(guess[1]),null===guess[2]?$("#secondtext").text(""):$("#secondtext").text(guess[2]))
un entero, como 6

Para resolver esto, establezcamos una expresión para indicar cuánto dinero ganará person(1).

What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?

Cantidad ganada esta semana =
\qquadSuscripciones vendidad \times Precio por suscripción + Bono semanal

Puesto que person(1) quiere hacer al menos $R esta semana, podemos convertir esto en una desigualdad.

What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?

Cantidad ganada esta semana \geq $R

Suscripciones vendidas \times pago por suscripción + Bono semanal \geq $R

Estamos resolviendo para el número de suscripciones vendidas, así que hacemos x representar el número de suscripciones.

Ahora podemos introducir:

x \cdot $P + $Q \geq $R

x \cdot $P \geq $R - $Q

x \cdot $P \geq $R - Q

x \geq \dfrac{R - Q}{P} \approx localeToFixed((R - Q) / P, 2)

Como person(1) no puede vender partes de una suscripción, redondeamos localeToFixed((R - Q) / P, 2) hasta X.

x \geq \dfrac{R - Q}{P} = (R - Q) / P

person(1) debe vender al menos X suscripciones esta semana.

10 * randRange(100 / 10, 500 / 10) 10 * randRange(300 / 10, 1000 / 10) 10 * randRange(2000 / 10, 4000 / 10) ceil((R - Q) / P) randRange(1,3)

[Click to learn about the “ What? Why? How?" strategy]

To use this strategy, ask yourself these “ What? Why? How?" questions while solving a problem.
What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?
As a reminder to ask yourself these questions, they will sometimes appear in purple.

What if I can’t do it?

Many students are not sure what to say, or think their answer isn’t good. That is fine, as long as you try to think about the question, by typing or saying the answer to yourself.

Por cada nivel que person(1) completa en su juego favorito, él gana P puntos. person(1) ya tiene Q puntos en el juego y quiere tener al menos R puntos antes de ir a la cama.

[Click to learn about the “ What? Why? How?" strategy]

To use this strategy, ask yourself these “ What? Why? How?" questions while solving a problem.
What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?
As a reminder to ask yourself these questions, they will sometimes appear in purple.

What if I can’t do it?

Many students are not sure what to say, or think their answer isn’t good. That is fine, as long as you try to think about the question, by typing or saying the answer to yourself.

Para cada nivel que person(1) completa en su juego favorito, ella gana P puntos. person(1) ya tiene Q puntos en el juego y quiere tener al menos R antes de ir a la cama.

¿Cuál es el mínimo número de niveles completos que person(1) necesita para llegar a su meta?

¿Cuál es el mínimo número de niveles completos que person(1) necesita completar para llegar a su meta?

levels
[$("#guessans").val(),$("#firsttext").val(),$("#secondtext").val()]
var e=X,r=$("<div>").text(e),s=Khan.answerTypes.number.createValidator(r);return s(guess[0])
null!=guess?$("#guessans").val(guess[0]):($("#guessans").val(""),$("#firsttext").length>0&&($("#firsttext").text(""),$("#secondtext").text("")))
null!=guess&&$("#firsttext").length>0&&(null===guess[1]?$("#firsttext").text(""):$("#firsttext").text(guess[1]),null===guess[2]?$("#secondtext").text(""):$("#secondtext").text(guess[2]))
un entero, como 6

Para resolver esto, establezcamos una expresión que indique cuántos puntos tendrá person(1) después de cada nivel.

What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?

Número de puntos =
\qquadNiveles completados \times puntos por nivel + Puntos iniciales

Puesto que person(1) quiere tener al menos R puntos antes de ir a la cama, podemos establecer una desigualdad.

What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?

Número de puntos \geq R

Niveles completados \times puntos por nivel + Puntos iniciales \geq R

Estamos resolviendo para el número de niveles completados, así que hacemos x representar el número de niveles.

Ahora podemos introducir:

x \cdot P + Q \geq R

x \cdot P \geq R - Q

x \cdot P \geq R - Q

x \geq \dfrac{R - Q}{P} \approx localeToFixed((R - Q) / P, 2)

Puesto que person(1) no obtendrá puntos hasta terminar un nivel completo, redondeamos localeToFixed((R - Q) / P, 2) hasta X.Puesto que person(1) no obtendrá puntos hasta terminar un nivel completo, redondeamos localeToFixed((R - Q) / P, 2) hasta X.

x \geq \dfrac{R - Q}{P} = (R - Q) / P

person(1) debe completar al menos X niveles.

randRange(5, 50) randRange(50, 200) randRange(1, 10) ceil(( R - Q ) / P) randRange(1,3)

[Click to learn about the “ What? Why? How?" strategy]

To use this strategy, ask yourself these “ What? Why? How?" questions while solving a problem.
What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?
As a reminder to ask yourself these questions, they will sometimes appear in purple.

What if I can’t do it?

Many students are not sure what to say, or think their answer isn’t good. That is fine, as long as you try to think about the question, by typing or saying the answer to yourself.

Para subir al nivel maestro en su escuela de piano, person(1) debe dominar al menos R canciones. person(1) ya dominaQ canciones.

[Click to learn about the “ What? Why? How?" strategy]

To use this strategy, ask yourself these “ What? Why? How?" questions while solving a problem.
What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?
As a reminder to ask yourself these questions, they will sometimes appear in purple.

What if I can’t do it?

Many students are not sure what to say, or think their answer isn’t good. That is fine, as long as you try to think about the question, by typing or saying the answer to yourself.

Para subir al nivel maestro en su escuela de piano, person(1) debe dominal al menos R canciones. person(1) ya domina Q canciones.

Si person(1) puede comúnmente dominar P canciones por mes, ¿Cuál es el mínimo número de meses que le tomara a him(1) pasar al nivel de maestro?

months
[$("#guessans").val(),$("#firsttext").val(),$("#secondtext").val()]
var e=X,r=$("<div>").text(e),s=Khan.answerTypes.number.createValidator(r);return s(guess[0])
null!=guess?$("#guessans").val(guess[0]):($("#guessans").val(""),$("#firsttext").length>0&&($("#firsttext").text(""),$("#secondtext").text("")))
null!=guess&&$("#firsttext").length>0&&(null===guess[1]?$("#firsttext").text(""):$("#firsttext").text(guess[1]),null===guess[2]?$("#secondtext").text(""):$("#secondtext").text(guess[2]))
un entero, como 6

Para resolver esto, establezcamos una expresión que indique cuántas canciones dominará person(1) al final de cada mes.

What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?

Número de canciones dominadas =
\quadMeses en la escuela \times Canciones dominadas por mes + Canciones ya dominadas

Dado que person(1) necesita al menos R canciones dominadas para pasar al nivel maestro, podemos establecer una desigualdad para encontrar el numero de meses requeridos.

What are you doing or thinking right now?
Why is what you are currently doing helpful? Why is it useful for achieving your goal?
How well is your current approach to this problem working?

Número de canciones dominadas \geq R

Meses en la escuela \times Canciones dominadas por mes
\qquad+ Canciones ya dominadas \geq R

Estamos resolviendo para los meses que pasó en la escuela, así que hacemos x representar el numero de meses.

Ahora podemos introducir:

x \cdot P + Q \geq R

x \cdot P \geq R - Q

x \cdot P \geq R - Q

x \geq \dfrac{R - Q}{P} \approx localeToFixed((R - Q) / P, 2)

Puesto que solo nos interesan los meses completos que person(1) ha estado trabajando, redondeamos localeToFixed((R - Q) / P, 2) hasta X.

x \geq \dfrac{R - Q}{P} = (R - Q) / P

person(1) debe trabajar al menos X meses.