In `course( 1 )` class, the girl to boy ratio is

to `RATIO_GIRLS`

.`RATIO_BOYS`

If there are

girls, how many boys are there?`NUM_GIRLS`

`NUM_BOYS` boys

A ratio of

girls to `RATIO_GIRLS`

boys means that there is a group of `RATIO_BOYS`

girls for every group of `RATIO_GIRLS`

boys.`RATIO_BOYS`

If there are

girls, then there are `NUM_GIRLS`

groups of `FACTOR`

girls each.`RATIO_GIRLS`

Because we know the ratio is

, there must be `RATIO_GIRLS`:`RATIO_BOYS`

groups of `FACTOR`

boys each.`RATIO_BOYS`

There is a total of

boys in `NUM_BOYS``course( 1 )` class.

If there are

boys, how many girls are there?`NUM_BOYS`

`NUM_GIRLS` girls

A ratio of

girls to `RATIO_GIRLS`

boys means that there is a group of `RATIO_BOYS`

girls for every group of `RATIO_GIRLS`

boys.`RATIO_BOYS`

If there are

boys, then there are `NUM_BOYS`

groups of `FACTOR`

boys each.`RATIO_BOYS`

Because we know the ratio is

, there must be `RATIO_GIRLS`:`RATIO_BOYS`

groups of `FACTOR`

girls each.`RATIO_GIRLS`

There is a total of

girls in `NUM_GIRLS``course( 1 )` class.

If there are a total of

students, how many girls are there?`TOTAL`

`NUM_GIRLS` girls

A ratio of

girls to `RATIO_GIRLS`

boys means that a set of `RATIO_BOYS`

students will have `RATIO_GIRLS + RATIO_BOYS`

girls and `RATIO_GIRLS`

boys.`RATIO_BOYS`

A class of

students has `TOTAL`

sets of `FACTOR`

students.`RATIO_GIRLS + RATIO_BOYS`

Because we know that there are

girls in each set of `RATIO_GIRLS`

students, the class must have `RATIO_GIRLS + RATIO_BOYS`

groups of `FACTOR`

girls each.`RATIO_GIRLS`

There is a total of

girls in `NUM_GIRLS``course( 1 )` class.

If there are a total of

students, how many boys are there?`TOTAL`

`NUM_BOYS` boys

A ratio of

girls to `RATIO_GIRLS`

boys means that a set of `RATIO_BOYS`

students will have `RATIO_GIRLS + RATIO_BOYS`

girls and `RATIO_GIRLS`

boys.`RATIO_BOYS`

A class of

students has `TOTAL`

sets of `FACTOR`

students.`RATIO_GIRLS + RATIO_BOYS`

Because we know that there are

boys in each set of `RATIO_BOYS`

students, the class must have `RATIO_GIRLS + RATIO_BOYS`

groups of `FACTOR`

boys each.`RATIO_BOYS`

There is a total of

boys in `NUM_BOYS``course( 1 )` class.

The scale on a map is `SCALE_MAP`cm : `SCALE_REAL`km.

If two cities are `DISTANCE_MAP`cm apart on the map, what is the actual distance in km between the two cities?

`DISTANCE_REAL` km

The scale means that every `SCALE_MAP`cm on the map corresponds to an actual distance of `SCALE_REAL`km.

A distance of `DISTANCE_MAP`cm on the map is the same as `FACTOR` `\cdot`

`SCALE_MAP`cm.

The actual distance between the two cities is `FACTOR` `\cdot`

`SCALE_REAL`km, or `DISTANCE_REAL`km.

If the distance between two cities is `DISTANCE_REAL`km, how far apart in cm are the two cities on the map?

`DISTANCE_MAP` cm

The scale means that every `SCALE_MAP`cm on the map corresponds to an actual distance of `SCALE_REAL`km.

An actual distance of `DISTANCE_REAL`km is the same as `FACTOR` `\cdot`

`SCALE_REAL`km.

The distance between the two cities on the map is `FACTOR` `\cdot`

`SCALE_MAP`cm, or `DISTANCE_MAP`cm.