Ratio and Proportion Problems

The ratio of blue marbles to red marbles in a bag is 4 : 9. If there are 24 blue marbles, how many red marbles are there?

Samuel has apples and oranges in the ratio of 5 : 8. If he has 45 apples, how many oranges does he have?

An animal's shelter consist of dogs and cats in the ratio of 3 : 8. If there are 33 dogs, how many cats are there?

The ratio of cars to motorcycle in a parking lot is 13 : 2. If there are 14 motorcycles, how many cars are there?

The ratio of cows to goats in a farm is 8 : 5. If there are 20 goats, how many animals in total are there in the farm?

The ratio of carrots to cabbages in a market stall is 3 : 8. If there are 24 carrots, how many vegetables in total were there in the market stall?

The ratio of apple trees to pear trees in an orchard is 5 : 3. Find the total number of trees in the orchard, if there are 36 pear trees.

A company manufactured cars and motorcycles in the ratio of 4 : 7. How many vehicles did the company manufactured in total if the company manufactured 217 motorcycles?

The ratio of boys to girls in a class is 5 : 4. If there is a total of 36 students, find the number of boys and girls respectively.

• 30 boys, 6 girls

• 15 boys, 21 girls

• 20 boys, 16 girls

• 10 boys, 26 girls

Raj and Sam received votes in the ratio of 5 : 3. If a total of 64 people voted, how many votes respectively did Raj and Sam received?

• 50 and 14

• 40 and 24

• 30 and 34

• 55 and 9