Ratio and Rate Problems

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

Front

How do you calculate the total number of students taught by a teacher over a period of time?

Back

Multiply the number of students taught per day by the number of days taught in the period.

Front

If a teacher teaches 4 students each day for 5 days a week, how many students does she teach in one week?

Back

20 students (4 students/day * 5 days/week).

Front

If a fast food restaurant prepares 6 burgers for every 4 fries, what is the ratio of burgers to fries?

Back

The ratio of burgers to fries is 6:4, which simplifies to 3:2.

Front

How do you find out how many items can be made with a given quantity based on a ratio?

Back

Use the ratio to set up a proportion and solve for the unknown quantity.

Front

If a school buys 30 packs of notebooks and the ratio of pencils to notebooks is 5:3, how many packs of pencils will they buy?

Back

50 packs of pencils (30 notebooks * 5/3).

Front

What is the relationship between yards of fabric and shirts sewn if the ratio is 6 yards for 4 shirts?

Back

For every 6 yards of fabric, 4 shirts can be sewn.

Front

If a tailor has 15 yards of fabric, how many shirts can they sew if the ratio is 6 yards for 4 shirts?

Back

10 shirts (15 yards * 4/6).

Front

How do you calculate the number of plants watered in an hour if 5 plants are watered every 10 minutes?

Back

In 1 hour (60 minutes), Tim can water 30 plants (5 plants/10 minutes * 6).