randRange(3, 8) randRange(1, 5) PIECES * D $._("candy bars") $._("bar per person") $._("total people") $._("people per bar") $._("people")

{Many|All|Several} of person(1)'s friends wanted to try the candy bars he brought back from his trip, but there were only PIECES candy bars. person(1) decided to cut the candy bars into pieces so that each person could have \frac{1}{D} of a candy bar.

{Many|All|Several} of person(1)'s friends wanted to try the candy bars she brought back from her trip, but there were only PIECES candy bars. person(1) decided to cut the candy bars into pieces so that each person could have \frac{1}{D} of a candy bar.

After cutting up the candy bars, how many friends could person(1) share his candy with?

After cutting up the candy bars, how many friends could person(1) share her candy with?

SOLUTION

We can divide the number of candy bars (PIECES) by the amount person(1) gave to each person (\frac{1}{D} of a bar) to find out how many people he could share with.

We can divide the number of candy bars (PIECES) by the amount person(1) gave to each person (\frac{1}{D} of a bar) to find out how many people she could share with.

\dfrac{\red{PIECES \text{ CANDY_BARS}}}{\blue{\dfrac{1}{D} \text{BAR_PER_PERSON}}} = \green{\text{TOTAL_PEOPLE}}

Dividing by a fraction is the same as multiplying by the reciprocal.

The reciprocal of \blue{\dfrac{1}{D} \text{ BAR_PER_PERSON}} is \green{D \text{ PEOPLE_PER_BAR}}.

\red{PIECES\text{ CANDY_BARS}} \times \green{D \text{ PEOPLE_PER_BAR}} = \green{\text{ TOTAL_PEOPLE}}

\phantom{PIECES\text{ CANDY_BARS} \times D \text{ PEOPLE_PER_BAR}} = \green{D * PIECES \text{ PEOPLE}}

By cutting up the candy bars, person(1) could share his candy with SOLUTION of his friends.

By cutting up the candy bars, person(1) could share her candy with SOLUTION of her friends.

randRange(3, 8) randRange(3, 6) YARN * D $._("balls of yarn") $._("ball per scarf") $._("number of scarves") $._("scarves per ball") $._("scarves")

person(1) just found beautiful yarn {for 5 * randRange(1, 5) percent off }at his favorite yarn store. He can make 1 scarf from \frac{1}{D} of a ball of yarn.

person(1) just found beautiful yarn {for 5 * randRange(1, 5) percent off }at her favorite yarn store. She can make 1 scarf from \frac{1}{D} of a ball of yarn.

If person(1) buys YARN balls of yarn, how many scarves can he make?

If person(1) buys YARN balls of yarn, how many scarves can she make?

SOLUTION

We can divide the balls of yarn (YARN) by the yarn needed per scarf (\frac{1}{D} of a ball) to find out how many scarves person(1) can make.

\dfrac{\red{YARN \text{ BALLS_OF_YARN}}} {\color{BLUE}{\dfrac{1}{D} \text{ BALL_PER_SCARF}}} = \green{\text{ NUMBER_OF_SCARVES}}

Dividing by a fraction is the same as multiplying by the reciprocal.

The reciprocal of \blue{\dfrac{1}{D} \text{ BALL_PER_SCARF}} is \green{D \text{ SCARVES_PER_BALL}}.

\red{YARN\text{ BALLS_OF_YARN}} \times \green{D \text{ SCARVES_PER_BALL}} = \green{\text{ NUMBER_OF_SCARVES}}

\phantom{YARN\text{ BALLS_OF_YARN} \times D \text{ SCARVES_PER_BALL}} = \green{D * YARN \text{ SCARVES}}

person(1) can make SOLUTION scarves.

randRange(2, 5) randRange(1, 3) PAINT * D (randRange(1, 20) + SOLUTION) new Plural(function(num) { return $.ngettext("can of paint", "cans of paint", num); }) $._("rooms") $._("can per room") $._("rooms per can")

person(1) decided to paint some of the rooms at his ROOM-room inn, person(1)'s Place. He discovered he needed \frac{1}{D} of a can of paint per room.

person(1) decided to paint some of the rooms at her ROOM-room inn, person(1)'s Place. She discovered she needed \frac{1}{D} of a can of paint per room.

If person(1) had PAINT plural_form(CAN_OF_PAINT, PAINT), how many rooms could he paint?

If person(1) had PAINT plural_form(CAN_OF_PAINT, PAINT), how many rooms could she paint?

SOLUTION

We can divide the cans of paint (PAINT) by the paint needed per room (\frac{1}{D} of a can) to find out how many rooms person(1) could paint.

\dfrac{\red{PAINT \text{ plural_form(CAN_OF_PAINT, PAINT)}}} {\color{BLUE}{\dfrac{1}{D} \text{ CAN_PER_ROOM}}} = \green{\text{ ROOMS}}

Dividing by a fraction is the same as multiplying by the reciprocal.

The reciprocal of \blue{\dfrac{1}{D} \text{ CAN_PER_ROOM}} is \green{D \text{ ROOMS_PER_CAN}}.

\red{PAINT\text{ plural_form(CAN_OF_PAINT, PAINT)}} \times \green{D \text{ ROOMS_PER_CAN}} = \green{\text{ ROOMS}}

\phantom{PAINT\text{ plural_form(CAN_OF_PAINT, PAINT)} \times D \text{ ROOMS_PER_CAN}} = \green{D * PAINT \text{ ROOMS}}

person(1) could paint SOLUTION rooms.

randRange(4, 10) randRange(1, 3) new Plural(function(num) { return $.ngettext("mile", "miles", num); }) MILES * D fraction(randRange(1,3), randRange(4,6), true, true, true) $._("mile per swimmer") $._("number of swimmers") $._("swimmers per mile") $._("swimmers")

As the swim coach at school(1), person(1) selects which athletes will participate in the state-wide swim relay.

The relay team swims MILES plural_form(MILE, MILES) in total, with each team member responsible for swimming \frac{1}{D} of a mile. The team must complete the swim in TIME of an hour.

How many swimmers does person(1) need on the relay team?

SOLUTION

To find out how many swimmers person(1) needs on the team, divide the total distance (MILES plural_form(MILE, MILES)) by the distance each team member will swim (\frac{1}{D} of a mile).

\dfrac{\red{MILES\text{ plural_form(MILE, MILES)}}} {\color{BLUE}{\dfrac{1}{D} \text{ MILE_PER_SWIMMER}}} = \green{\text{ SWIMMERS_PER_MILE}}

Dividing by a fraction is the same as multiplying by the reciprocal.

The reciprocal of \blue{\dfrac{1}{D} \text{ MILE_PER_SWIMMER}} is \green{D \text{ SWIMMERS_PER_MILE}}.

\red{MILES \text{ plural_form(MILE, MILES)}} \times \green{D \text{ SWIMMERS_PER_MILE}} = \green{\text{ NUMBER_OF_SWIMMERS}}

\phantom{MILES\text{ plural_form(MILE, MILES)} \times D \text{ SWIMMERS_PER_MILE}} = \green{D * MILES \text{ SWIMMERS}}

person(1) needs SOLUTION swimmers on his team.

person(1) needs SOLUTION swimmers on her team.

randRange(6, 30) randRange(1, 3) D * CHOCOLATE $._("pound per bag") new Plural(function(n) { return $.ngettext("pound", "pounds", n) }) $._("bags per pound") $._("gift bags")

person(1) thought it would be nice to include \frac{1}{D} of a pound of chocolate in each of the holiday gift bags he made for his friends and family.

person(1) thought it would be nice to include \frac{1}{D} of a pound of chocolate in each of the holiday gift bags she made for her friends and family.

How many holiday gift bags could person(1) make with CHOCOLATE plural_form(POUNDS, CHOCOLATE) of chocolate?

SOLUTION

To find out how many gift bags person(1) could create, divide the total chocolate (CHOCOLATE plural_form(POUNDS, CHOCOLATE)) by the amount he wanted to include in each gift bag (\frac{1}{D} of a pound).

To find out how many gift bags person(1) could create, divide the total chocolate (CHOCOLATE plural_form(POUNDS, CHOCOLATE)) by the amount she wanted to include in each gift bag (\frac{1}{D} of a pound).

\dfrac{\red{CHOCOLATE \text{ plural_form(POUNDS, CHOCOLATE)}}} {\color{BLUE}{\dfrac{1}{D} \text{ POUND_PER_BAG}}} = \green{\text{ GIFT_BAGS}}

Dividing by a fraction is the same as multiplying by the reciprocal.

The reciprocal of \blue{\dfrac{1}{D} \text{ POUND_PER_BAG}} is \green{D \text{ BAGS_PER_POUND}}.

\red{CHOCOLATE\text{ POUND_PER_BAG}} \times \green{D \text{ BAGS_PER_POUND}} = \green{\text{ GIFT_BAGS}}

\phantom{CHOCOLATE\text{ POUND_PER_BAG} \times D \text{ BAGS_PER_POUND}} = \green{D * CHOCOLATE \text{ GIFT_BAGS}}

person(1) could create SOLUTION gift bags.

randRange(6, 15) 1 randRange(1, 3) HOURS * D new Plural(function(num) { return $.ngettext("hour", "hours", num); }) $._("hour per exercise") $._("number of exercises") $._("exercises per hour") $._("exercises")

person(1) works out for HOURS plural_form(HOUR, HOURS) every day. To keep his exercise routines interesting, he includes different types of exercises, such as plural_form(exercise(1)) and plural_form(exercise(2)), in each workout.

person(1) works out for HOURS plural_form(HOUR, HOURS) every day. To keep her exercise routines interesting, she includes different types of exercises, such as plural_form(exercise(1)) and plural_form(exercise(2)), in each workout.

If each type of exercise takes \frac{1}{D} of an hour, how many different types of exercise can person(1) do in each workout?

SOLUTION

To find out how many types of exercise person(1) could do in each workout, divide the total amount of exercise time (HOURS plural_form(HOUR, HOURS)) by the amount of time each exercise type takes (\frac{1}{D} of an hour).

\dfrac{\red{HOURS \text{ plural_form(HOUR, HOURS)}}} {\color{BLUE}{\dfrac{1}{D} \text{ HOUR_PER_EXERCISE}}} = \green{\text{ NUMBER_OF_EXERCISES}}

Dividing by a fraction is the same as multiplying by the reciprocal.

The reciprocal of \blue{\dfrac{1}{D} \text{ HOUR_PER_EXERCISE}} is \green{D \text{ EXERCISES_PER_HOUR}}.

\red{HOURS\text{ plural_form(HOUR, HOURS)}} \times \green{D \text{ EXERCISES_PER_HOUR}} = \green{\text{ NUMBER_OF_EXERCISES}}

\phantom{HOURS\text{ plural_form(HOUR, HOURS)} \times D \text{ EXERCISES_PER_HOUR}} = \green{D * HOURS \text{ EXERCISES}}

person(1) can do SOLUTION different types of exercise per workout.