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

Let the Total Amount of money won in Lottery be : LGiven - Jane and Ben share the Lottery in the Ratio 7 : 3[tex]\implies \mathsf{Jane\;share\;of\;money = \left(\dfrac{7}{7 + 3}\right) \times L}[/tex][tex]\implies \mathsf{Jane\;share\;of\;money = \dfrac{7L}{10}}[/tex]Given : Jane's share of money is $5600[tex]\mathsf{\implies \dfrac{7L}{10} = 5600}[/tex][tex]\mathsf{\implies L = \dfrac{56000}{7}}[/tex][tex]\mathsf{\implies L = 8000}[/tex][tex]:\implies[/tex]  Total Lottery Money = $8000[tex]\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{7 + 3}\right) \times 8000}[/tex][tex]\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{10}\right) \times 8000}[/tex][tex]\implies \mathsf{Ben's\;Share = \left(3 \times 800\right)}[/tex][tex]\implies \mathsf{Ben's\;Share = 2400}[/tex]Answer : Ben received $2400