Question

A man and a woman share a cash prize of £2855 between them in the

ratio 1:4 respectively. The woman shares her winnings between herself,
her daughter and her son in the ratio 5:1:2. How much does her
daughter receive?

Answer 1

285.50

Explanation:

The total for the ratio of 1:4 is 5. The ratio to the woman to the total is

4:5 or

`(4)/(5)` =
`(x)/(2855)` Cross multiply and solve for x

4(2855) = 5x

11420 = 5x Divide both sides by 5

2284 =x

The woman's portion of the total is 2284.

The woman takes the 2284 and divides it in a ratio of 5:1:2. The total is 8.

The daughter will receive the ratio of 1:8 of the total.

`(1)/(8)` =
`(x)/(2284)` cross multiply and solve for x

8x = 2284 Divide both sides by 8

x = 285.50

The daughter's portion is 285.50