Ratio and Proportion Word Problems Worksheet

Are you searching for a helpful tool to enhance your skills in solving ratio and proportion word problems? Look no further! Our Ratio and Proportion Word Problems Worksheet is designed to assist middle and high school students in mastering these challenging math concepts.

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If there are 20 boys and 30 girls in a classroom, what is the ratio of boys to girls?

The ratio of boys to girls in the classroom is 2:3, as there are 20 boys and 30 girls, and when simplified this equates to 2:3.

A recipe calls for 2 cups of flour and 1 cup of sugar. What is the ratio of flour to sugar?

The ratio of flour to sugar in the recipe is 2:1.

If a car travels 240 miles in 4 hours, what is its average speed?

The average speed of the car is 60 miles per hour (240 miles divided by 4 hours).

In a bag of marbles, the ratio of red to blue marbles is 3:2. If there are 15 red marbles, how many blue marbles are there?

If the ratio of red to blue marbles is 3:2 and there are 15 red marbles, then the number of blue marbles can be calculated by dividing the number of red marbles by 3 (since the ratio of red to blue is 3:2) and then multiplying by 2 to find the total number of blue marbles. So, (15 / 3) * 2 = 10 blue marbles. Thus, there are 10 blue marbles in the bag.

A map's scale is 1 inch represents 10 miles. If two cities are 3 inches apart on the map, how many miles are they apart in reality?

The two cities are 30 miles apart in reality. Since the scale of the map is 1 inch represents 10 miles, each inch on the map corresponds to 10 miles. Therefore, 3 inches on the map represents 3 x 10 = 30 miles in reality.

A water tank is filled in 5 hours by 4 pipes. How many hours would it take for 6 pipes to fill it up?

With 4 pipes, the tank fills up in 5 hours, so each pipe fills \(\frac{1}{5}\) of the tank in one hour. If we use 6 pipes instead of 4, the total rate of filling will be \(\frac{6}{5}\) times the original rate. Thus, it will take \(\frac{5}{6}\) of the time, which is about 4.17 hours for 6 pipes to fill up the tank when working together.

In a computer game, the ratio of male to female characters is 5:3. If there are 80 female characters, how many male characters are there?

If the ratio of male to female characters is 5:3, and there are 80 female characters, then to find the number of male characters, we can set up a proportion and solve for the missing value. The total ratio is 5 + 3 = 8 parts. Since 3 parts represent 80 female characters, one part is equal to 80/3 = 26.67 characters. And since there are 5 parts representing male characters, the number of male characters is 26.67 * 5 = 133.33, which means there are approximately 133 male characters in the game.

If Aaron ran 5 miles in 40 minutes, how far could he run in 1 hour?

If Aaron ran 5 miles in 40 minutes, he could run 7.5 miles in 1 hour because 40 minutes is 2/3 of an hour, so if Aaron maintains the same pace, he would cover 1.5 times the distance in a full hour.

The ratio of chocolates to candies in a box is 4:7. If there are 28 chocolates, how many candies are there?

If the ratio of chocolates to candies is 4:7, and there are 28 chocolates, then to find the number of candies, we can set up a proportion. Since the ratio is 4:7, we can express this as 4/7 = 28/x, where x is the number of candies. Cross multiplying gives us 4x = 28 * 7, which simplifies to 4x = 196. Dividing both sides by 4, we find that x = 49, so there are 49 candies in the box.

A swimming pool is 30 meters long and 20 meters wide. What is the ratio of length to width?

The ratio of the length to the width of the swimming pool is 3:2 since the pool is 30 meters long and 20 meters wide.