Question

Alex and Ben share £520 in the ratio 1:3
b)what percentage of the £520 does Ben receive

Answer 1

Ben receives 75%

Explanation:

sum the parts of the ratio, 1 + 3 = 4 parts

Ben receives 3 parts of the 4 , that is

`(3)/(4)` × 100%

= 0.75 × 100%

= 75%

Answer 2

Share of Alex = £130

Share of Ben = £390

Percentage Ben received
`=75\%`

Explanation:

• Let the share of Alex = 1*x = £x

• & the share of Ben = 3*x = £3x

• Total amount = £520

• -> x + 3x = 520

• -> 4x = 520

• -> x = 520/4

• -> x = 130

• -> Share of Alex = 1*130 = £130

• -> Share of Ben = 3*130= £390

• Percentage Ben received
  `=(390)/(520)* 100`

• Percentage Ben received
  `=\bold{75\%}`