IXL | Compare ratios: word problems

Dominic is buying supplies for his poetry class. He likes to write his poems in black ink, then decorate the pages with colorful drawings. The Mega Writer pack has 6 colored pens and 9 black pens. The Mini Writer pack has 3 colored pens and 6 black pens. Do the packs have the same ratio of colored pens to black pens?

yes

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Learn with an example

question

Emilia and Darnell are arguing over who makes the best fruit punch. Emilia likes to use 2 cups of grape juice for every 5 cups of pineapple juice. Darnell prefers to use 1 cup of grape juice for every 4 cups of pineapple juice. Do Emilia and Darnell use the same ratio of grape juice to pineapple juice?

yes

key idea

A ratio is a comparison of two numbers that have the same unit of measurement.

solution

To find out if Emilia and Darnell use the same ratio of grape juice to pineapple juice, start by finding the ratio each person uses.

Emilia likes to use 2 cups of grape juice for every 5 cups of pineapple juice. Her ratio of grape juice to pineapple juice is

Darnell prefers to use 1 cup of grape juice for every 4 cups of pineapple juice. His ratio of grape juice to pineapple juice is

Now check if the ratios are equal. You can rewrite

and

using a common denominator that is a multiple of 5 and 4, like 20.

You can also rewrite the ratios in decimal form.

0.4

0.25

Both ways show that

and

are not

equal.

So, Emilia and Darnell do not use the same ratio of grape juice to pineapple juice.

Looking for more? Try this:

Lesson: Ratios

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Teacher tools

Work it out

Not feeling ready yet? These can help:

S.10Equivalent ratios: word problems

G.4Convert fractions to decimals

Lesson: Ratios

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