Question

a brother and sister share out their collection of 5000 stamps in the ratio 5:3. The brother then shares his stampswith two friends in the ratio 3:1:1, keeping most for himself. How many stampsdoes he keep for himself?

Answer 1

Let one part of the stamps be x.
5x+3x=5000;
8x=5000
x=625
brother will receive 5 × 625=3125 stamps
3x+x+x=3125
5x=3125
x=625
He will keep 3×625=1875 stamps

Answer 2

1) 5000 * (5 / (5+3) ) = 5000 * 5/8 = 3125

2) 3125 * (3 / (3+1+1) ) = 3125 * 3/5 = 1875

Answer 3

Let's break down the problem step by step.

Step 1: Brother and Sister Share 5000 Stamps in the Ratio 5:3 The total ratio of stamps is 5 + 3 = 8. To find out how many stamps each part of the ratio represents, divide the total number of stamps (5000) by the total ratio (8): Each part of the ratio represents 5000 / 8 = 625 stamps.

The brother gets 5 parts, so he gets 5 * 625 = 3125 stamps. The sister gets 3 parts, so she gets 3 * 625 = 1875 stamps.

Step 2: Brother Shares His Stamps with Two Friends in the Ratio 3:1:1 The brother has 3125 stamps that he shares with his friends.

The total ratio of stamps is 3 + 1 + 1 = 5. To find out how many stamps each part of the ratio represents, divide the total number of stamps the brother has (3125) by the total ratio (5): Each part of the ratio represents 3125 / 5 = 625 stamps.

The brother keeps 3 parts for himself, so he keeps 3 * 625 = 1875 stamps.

So, the brother keeps 1875 stamps for himself.