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 to solve a word problem?

Back

Identify the two ratios involved in the problem and set them equal to each other.

Front

If a recipe calls for 2 cups of sugar for every 3 cups of flour, how would you find the amount of sugar needed for 6 cups of flour?

Back

Set up the proportion: 2/3 = x/6, then solve for x.

Front

What is the formula to find the percent of a quantity?

Back

Percent = (Part/Whole) x 100.

Front

How do you convert a fraction to a percent?

Back

Divide the numerator by the denominator and multiply by 100.

Front

If 15 out of 20 students passed a test, what percent passed?

Back

75% passed (15/20 = 0.75, then 0.75 x 100 = 75%).

Front

What is the scale of a map?

Back

The scale of a map shows the ratio of a distance on the map to the actual distance on the ground.

Front

If a map has a scale of 1 cm : 10 km, how many centimeters represent 50 km?

Back

5 cm (50 km / 10 km per cm = 5 cm).

Front

How do you find the unit rate?

Back

Divide the total quantity by the number of units.

Front

If 4 apples cost $2, what is the cost per apple?

Back

$0.50 per apple (2/4 = 0.50).