Equivalent Ratio Word Problem Worksheet

Understanding equivalent ratios is an essential math skill for students to develop. With our equivalent ratio word problem worksheet, students can practice applying this concept to real-life scenarios. This engaging resource is perfect for intermediate level learners who want to strengthen their understanding of ratios and proportions.

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A recipe requires 2 cups of flour for every 3 cups of water. How much flour is needed for 9 cups of water?

To determine how much flour is needed for 9 cups of water, you can set up a proportion based on the given ratio. Since the ratio is 2 cups of flour for every 3 cups of water, you can calculate that \(9 \text{ cups of water} \times \frac{2 \text{ cups of flour}}{3 \text{ cups of water}} = 6 \text{ cups of flour}.\) Therefore, 6 cups of flour are needed for 9 cups of water.

In a school, the ratio of boys to girls is 3:5. If there are 240 boys, how many girls are there?

In the school, if the ratio of boys to girls is 3:5 and there are 240 boys, there would be 400 girls, as the ratio between boys and girls is 3:5. Since 240 boys represent 3 parts of the ratio, then there must be 5 parts representing the girls, which would equal to 400 girls in total.

A car travels 240 miles in 6 hours. What is its average speed in miles per hour?

The average speed of the car is 40 miles per hour (240 miles / 6 hours = 40 miles per hour).

A fruit salad is made by mixing 3 parts of apples with 5 parts of grapes. If there are 18 apples, how many grapes are needed?

If the fruit salad is made by mixing 3 parts of apples with 5 parts of grapes, and there are 18 apples, then the ratio becomes 3:5. This means that for every 3 apples, there are 5 grapes. So, if there are 18 apples, we can calculate the number of grapes needed by setting up a proportion: 3/5 = 18/x. Solving for x gives us x = 30 grapes. Therefore, 30 grapes are needed to make the fruit salad.

A machine can produce 40 units in 2 hours. How many units will it produce in 8 hours?

If a machine can produce 40 units in 2 hours, then it produces 20 units per hour. Therefore, in 8 hours, the machine will produce 20 units/hour * 8 hours = 160 units.

A store sells shirts at a ratio of 2:5 for men and women, respectively. If there are 80 men's shirts, how many women's shirts are there?

If the store sells shirts at a ratio of 2:5 for men and women, respectively, and there are 80 men's shirts, we can determine the number of women's shirts using the ratio. Since the ratio is 2:5 for men and women's shirts, we can divide the number of men's shirts (80) by the ratio of men's shirts to find the ratio for women's shirts, which is 2.5. Multiplying 2.5 by 80 men's shirts gives us 200 women's shirts in total.

A rectangle has a length-to-width ratio of 3:5. If the width is 10 feet, what is the length?

If the width of the rectangle is 10 feet and the length-to-width ratio is 3:5, then the length would be 3/5 times the width. Therefore, the length would be (3/5) * 10 = 6 feet.

A tank is filled with a mixture of gasoline and oil in a ratio of 4:1. If there are 20 gallons of oil, how many gallons of gasoline are there?

There are 80 gallons of gasoline in the tank.

A group of students bought 3 pencils for every 5 pens. If they bought a total of 24 pens, how many pencils did they buy?

They bought 14 pencils in total. Since they bought 3 pencils for every 5 pens, this means they bought 3/5 * 24 = 14 pencils.

A company has employees in a ratio of 2:3 for full-time and part-time positions, respectively. If there are 60 full-time employees, how many part-time employees are there?

There are 90 part-time employees in the company. This can be calculated by multiplying the number of full-time employees by the ratio of part-time employees to full-time employees, which is 3/2. So, 60 full-time employees multiplied by 3/2 equals 90 part-time employees.