Question

jane and ben share a lottery win in the ratio 7:3, if Jane's share of the money is $5600, how much does ben recieve

Answer 1

Let the Total Amount of money won in Lottery be : L

Given - Jane and Ben share the Lottery in the Ratio 7 : 3

`\implies \mathsf{Jane\;share\;of\;money = \left((7)/(7 + 3)\right) * L}`

`\implies \mathsf{Jane\;share\;of\;money = (7L)/(10)}`

Given : Jane's share of money is $5600

`\mathsf{\implies (7L)/(10) = 5600}`

`\mathsf{\implies L = (56000)/(7)}`

`\mathsf{\implies L = 8000}`

`:\implies` Total Lottery Money = $8000

`\implies \mathsf{Ben's\;Share = \left((3)/(7 + 3)\right) * 8000}`

`\implies \mathsf{Ben's\;Share = \left((3)/(10)\right) * 8000}`

`\implies \mathsf{Ben's\;Share = \left(3 * 800\right)}`

`\implies \mathsf{Ben's\;Share = 2400}`

Answer : Ben received $2400

Answer 2

Ben's share = $2400

Explanation:

Ratio = 7:3

Jane's share = 7x

Ben's share = 3x

7x = 5600

x = 5600/7 = $ 800

Ben's share = 3x = 3*800 = $2400