Proportion Word Problems

Front

What is a proportion?

Back

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

Front

How do you set up a proportion for a word problem?

Back

Identify the two quantities that are being compared and set them as a fraction. Then, set the two fractions equal to each other.

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other fraction.

Front

If 48 out of 64 games resulted in homeruns, what is the ratio of homeruns to games?

Back

The ratio is 48:64, which simplifies to 3:4.

Front

How do you find the total number of items based on a ratio?

Back

Multiply the total number of items by the ratio's fraction.

Front

In a class of 70 students, if 63 are earning an A or B, what percentage of students are earning these grades?

Back

90% of the students are earning an A or B (63/70 = 0.9).

Front

What is the formula to find the number of items in a larger group based on a smaller group's ratio?

Back

Number in larger group = (Number in smaller group / Total in smaller group) * Total in larger group.

Front

If 10 out of 14 students enjoy baseball, how many students enjoy baseball in a class of 168?

Back

120 students enjoy baseball.

Front

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

Back

Identify the known quantities and the unknown quantity you need to find.

Front

How can you check if your answer to a proportion problem is correct?

Back

You can check by substituting your answer back into the original proportion to see if both sides are equal.