Question

Money is shared in the ratio 1:3. The smaller share

is £68. Calculate the larger share.
(please show the steps, not just the final answer) ​

Answer 1

£204

Explanation:

`smaller:larger=1:3\to(smaller)/(larger)=(1)/(3)\\\\\text{We have}\ smaller=\£68.\\\\\text{Substitute:}\\\\(\£68)/(larger)=(1)/(3)\qquad\text{cross multiply}\\\\larger=(3)(\£68)\\\\larger=\£204`

Answer 2

Smaller share=£68, let total amount =x

Ratio 1:3

Total ratio=1+3=4

Smaller share =(1/4)*total amount

So, £68=(1/4)*x

x=£68*4 =£272

Larger share=(3/4)*total amount

Larger share=(3/4)*272=£204