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

$\implies \mathsf{Jane\;share\;of\;money = \left(\dfrac{7}{7 + 3}\right) \times L}$

$\implies \mathsf{Jane\;share\;of\;money = \dfrac{7L}{10}}$

Given : Jane's share of money is $5600

$\mathsf{\implies \dfrac{7L}{10} = 5600}$

$\mathsf{\implies L = \dfrac{56000}{7}}$

$\mathsf{\implies L = 8000}$

$:\implies$  Total Lottery Money = $8000

$\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{7 + 3}\right) \times 8000}$

$\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{10}\right) \times 8000}$

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

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

Answer : Ben received $2400

Answer 2

Answer:

Ben's share =  $2400

Step-by-step 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