IXL | Compare ratios: word problems

Last weekend, Erin went skiing at Snowy Peak Mountain. On Saturday, she skied 3 hard slopes and 4 easy slopes. On Sunday, she skied 4 hard slopes and 5 easy slopes. Did Erin ski the same ratio of hard slopes to easy slopes on both days?

yes

ref_doc_title.

Learn with an example

question

Darnel and Lester took a fishing trip with their scout troop last weekend. Darnel caught 4 catfish and 8 trout. Lester caught 3 catfish and 6 trout. Did the boys catch the same ratio of catfish to trout?

yes

key idea

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

solution

To find out if Darnel and Lester caught the same ratio of catfish to trout, start by finding the ratio each person caught.

Darnel caught 4 catfish and 8 trout. His ratio of catfish to trout was

Lester caught 3 catfish and 6 trout. His ratio of catfish to trout was

Now check if the ratios are equal. You can rewrite

and

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

You can also rewrite

and

as simplified fractions.

Both ways show that

and

are

equal.

So, Darnel and Lester caught the same ratio of catfish to trout.

Looking for more? Try these:

Lesson: Ratios

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Teacher tools

Work it out

Not feeling ready yet? These can help:

L.4Equivalent ratios: word problems

O.2Convert between percents, fractions, and decimals

Lesson: Ratios

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