# Ratio word problems for 6th grade

These ratio word problems are great for ages 11 and older who are looking to improve their ratio skills.

### There are 5 people in a room, three of which are boys and two of which are girls. What is the ratio of boys to girls?

3:2

• Explanation

There are 3 boys to every 2 girls therefore the ratio is 3:2s

### 48 apples need to be divided into a ratio of 2:4:6 to fit into three different buckets. How many apples go into the smallest bucket?

8

• Explanation

2 : 4 : 6 can be simplified to 1 : 2 : 3
And 1 + 2 + 3 = 6
We divide the total apples by 6
48 ÷ 6 = 8
Ratio of the smallest bucket is 1 : 6 therefore:
8 x 1 = 8

### Two trains are passing each other on the train track. One has 18 carriages and the other has 90 carriages. How many times fewer carriages has the one train compared to the other?

5 times fewer

• Explanation

The ratio is 18:90
To simplify this you can divide each side by 18 and the ratio you are left with is
1:5

### What is the ratio of cupcakes to the total number of items in the picture below? ### Jemima brought 10 cupcakes and Eddy brought 6 cupcakes to share for their class. What is the ratio of Jemima’s total cupcakes to Eddy’s?

5:3

• Explanation

The ratio can be written as Jemima 10 : Eddy 6 which can be simplified if we divide each side by 2 leaving us with:
5:3

### Tammi has a bowl of fruit which has only apples and bananas. The ratio is 2 apples to each banana. If there are a total of 15 fruits in the bowl, how many apples are there?

10

• Explanation

We know that the fruit ratio is 2 apples : 1 banana meaning there are a total of 3 fruits per fruit grouping (2 apples + 1 banana).
15 / 3 = 5 fruit groupings
5 x 2 apples per group = 10 apples in total

### What is the ratio of presents to the total number of items in the picture on the right? 1:4

• Explanation

There are 4 presents and 16 items in the picture.
4:16 can be simplified to 1:4

### If a pet store has a total of 66 cats and dogs into a ratio of 2 cats per dog, how many cats are there?

44

• Explanation

We know that the pet ratio is 2 cats : 1 dog meaning there are a total of 3 pets per group (2 cats + 1 dog).
66 / 3 = 22 pet groups
22 x 2 cats per group = 44 cats in total

### Convert 100m to feet if the ratio of meters to feet is 1 meter to 3,28 feet.

328 feet

• Explanation

The ratio of meters to feet is 1 meter : 3,28 feet. Multiply your feet by 100 to convert the ratio.
100 m : 328 feet