Ratio word problems

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows how many times one value contains or is contained within the other.

Front

How do you solve a ratio word problem?

Back

Identify the quantities involved, set up a ratio, and use multiplication or division to find the unknown quantity.

Front

If there are 6 people in each boat and 24 boats, how many people are there in total?

Back

144 people (6 people/boat * 24 boats = 144 people).

Front

What does it mean if the ratio of boys to girls is 4 to 2?

Back

For every 4 boys, there are 2 girls, which can also be simplified to 2 boys for every girl.

Front

If there are 48 girls and the ratio of boys to girls is 4 to 2, how many boys are there?

Back

96 boys (If 2 parts represent 48 girls, then 4 parts represent 96 boys).

Front

How many cans are there if there are 24 cans in each bag and 9 bags?

Back

216 cans (24 cans/bag * 9 bags = 216 cans).

Front

If each girl wore 3 rings and there were 81 girls, how many rings were there in total?

Back

243 rings (3 rings/girl * 81 girls = 243 rings).

Front

In a group of 75 students, if the ratio of Slytherins to total students is 5 to 15, how many students are NOT Slytherins?

Back

50 students are NOT Slytherins (75 total - 25 Slytherins = 50 NOT Slytherins).

Front

What is the first step in solving a ratio word problem?

Back

Read the problem carefully to understand what is being asked and identify the quantities involved.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.