IXL | Compare ratios: word problems

Kenji feeds his cats a mixture of wet and dry food at every meal. He mixes 5 spoonfuls of dry food and 10 spoonfuls of wet food for Tiger, his adult cat. He mixes a smaller meal with 3 spoonfuls of dry food and 5 spoonfuls of wet food for his kitten, Smokey. Do the two meals have the same ratio of dry food to wet food?

yes

ref_doc_title.

Learn with an example

question

Bernie owns the Bright Blooms flower shop. When he makes a small bouquet, he uses 3 roses and 6 lilies. When he makes a large bouquet, he uses 6 roses and 8 lilies. Does Bernie use the same ratio of roses to lilies in both bouquets?

yes

key idea

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

solution

To find out if Bernie uses the same ratio of roses to lilies in both bouquets, start by finding the ratio for each bouquet.

When he makes a small bouquet, Bernie uses 3 roses and 6 lillies. The ratio of roses to lilies is

When he makes a large bouquet, Bernie uses 6 roses and 8 lilies. The ratio of roses to lilies is

Now check if the ratios are equal. You can rewrite

and

using a common denominator that is a multiple of 6 and 8, like 24.

You can also rewrite

and

as simplified fractions.

Both ways show that

and

are not

equal.

So, Bernie does not use the same ratio of roses to lilies in both bouquets.

Looking for more? Try these:

Lesson: Ratios

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Teacher tools

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Not feeling ready yet? These can help:

S.10Equivalent ratios: word problems

G.4Convert fractions to decimals

Lesson: Ratios

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