Question

Two factory workers win the in-house raffle with a prize of £240. Monika and Robert share the prize money in a ratio of 3:5. How much does Monika get?

Answer 1

Monika gets £90

Explanation:

Let us use the ratio method to solve this question

∵ Monika and Robert are Two factory workers

∵ They win the in-house raffle with a prize of £240

∵ Monika and Robert share the prize money in a ratio of 3: 5

→ That means the total of the ratio is equivalent to the value of the prize

∵ The total of the ratio = 3 + 5 = 8

→ By using the ratio method

→ Monika : Robert : Total

→ 3 : 5 : 8

→ x : y : 240

→ By using the cross multiplication

∵ x × 8 = 3 × 240

∴ 8x = 720

→ Divide both sides by 8

∵
`(8x)/(8)` =
`(720)/(8)`

∴ x = 90

∵ x represents the share of Monika

∴ Monika gets £90