Question

Shane and Gemma share 35 sweets in the ratio 1:4

1
Gemma eats 10 of her sweets and then gives Shane 2 of the sweets she has left.
(c) How many sweets does Shane have now?​

Answer 1

Shane has 9 sweats now.

Explanation:

Given that Shane and Gemma share 35 sweets in the ratio 1:4.

Let the share of Shane be = 'x'

Let the share of Gemma be = '4x'

The combined share of Shane and Gemma = x + 4x = 5x

Total sweets they share = 35

so the equation becomes

5x = 35

x = 7

Thus,

Share of Shane = x = 7

Share of Gemma = 4x = 4(7) = 28

Gemma eats 10 sweets, so she has left with 28-10 = 18 sweets

Gemma gave 2 of the sweets she has left.

As Shane has already 7 sweats, so adding 2 in 7 sweats would make it 9 sweats.

Therefore, Shane has 9 sweats now.