Question

The ratio of Ali's to Beth's score is 5:3. Ali

scored 10 more marks than Beth. Clare scored
7 more than Ali. Find the score of all three.

Answer 1

Ali 25

Beth 15

Clare 32

Explanation:

Here, we want to get the score of the three

let Ali’s score be x

He scored 10

more than Beth; Beth score will be x-10

Let us now work with the ratio

x/x-10 = 5/3

3x = 5(x-10)

3x = 5x - 50

5x-3x = 50

2x = 50

x =

50/2

x = 25

Beth will

score 25-10 = 15

score had 7 more than Ali,

25 + 7 = 32