IXL | Compare ratios: word problems

Jake is making bracelets to give to his sisters. He uses 4 rainbow charms and 8 white star charms for his younger sister's bracelet. He makes his older sister's bracelet a little bigger, so he uses 5 rainbow charms and 10 white star charms. Does Jake use the same ratio of rainbow charms to white star charms in both bracelets?

yes

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Learn with an example

question

Scarlett is buying treats from a candy shop to share with her friends from Science Club. There's a Buggy Bundle box with 8 butterfly gummies and 10 beetle gummies, and a Classic Critter box with 6 butterfly gummies and 8 beetle gummies. Do the boxes have the same ratio of butterfly gummies to beetle gummies?

yes

key idea

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

solution

To find out if the boxes have the same ratio of butterfly gummies to beetle gummies, start by finding the ratio in each.

The Buggy Bundle box has 8 butterfly gummies and 10 beetle gummies. The ratio of butterfly gummies to beetle gummies is

The Classic Critter box has 6 butterfly gummies and 8 beetle gummies. The ratio of butterfly gummies to beetle gummies is

Now check if the ratios are equal. You can rewrite

and

using a common denominator that is a multiple of 8 and 10, like 40.

You can also start by simplifying

and

Then, rewrite

and

using a common denominator.

Both ways show that

and

are not

equal.

So, the boxes do not have the same ratio of butterfly gummies to beetle gummies.

Looking for more? Try these:

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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