Sharing Numbers in Ratios

To divide a value in a given ratio, follow these steps:

1. Add both parts of the ratio: For a ratio of 3:4, calculate 3 + 4 = 7.

2. Divide the total amount by the sum of the parts: For example, if the total amount is 56, calculate 56 ÷ 7 = 8 (this tells us the worth of one part).

3. Multiply each part of the ratio by the value of one part: Multiply to find the final amounts: 3 × 8 = 24 and 4 × 8 = 32.

4. Verify: Check your answers by adding them together: 24 + 32 = 56 (this should equal the total amount).

Make sure to place numbers correctly to reflect the original ratio accurately when working through problems.

Here are 15 different problems for you to solve that involve dividing a value in a given ratio:

1. Share 72 in the ratio 2:5.

2. Share 100 in the ratio 3:7.

3. Share 48 in the ratio 1:3.

4. Share 90 in the ratio 4:6.

5. Share 150 in the ratio 5:10.

6. Share 84 in the ratio 2:4.

7. Share 60 in the ratio 3:5.

8. Share 120 in the ratio 1:2.

9. Share 36 in the ratio 2:1.

10. Share 80 in the ratio 7:1.

11. Share 96 in the ratio 5:3.

12. Share 45 in the ratio 1:4.

13. Share 63 in the ratio 6:3.

14. Share 81 in the ratio 2:7