Question

Please help me

Jack,Kate and Lila share some money in the ratio 5:9:6
In total, Jack and Kate receive £56
Work out the amount of money Lila receives?

Answer 1

`\bf \stackrel{Jack}{5}~~:~~\stackrel{Kate}{9}~~:~~\stackrel{Lila}{6}\qquad \qquad \cfrac{56}{5+9+6}\implies \cfrac{14}{5} \\\\\\ \stackrel{Jack}{5\cdot \cfrac{14}{5}}~~:~~\stackrel{Kate}{9\cdot \cfrac{14}{5}}~~:~~\stackrel{Lila}{6\cdot \cfrac{14}{5}} \\\\\\ \stackrel{Jack}{14}~~:~~\stackrel{Kate}{\cfrac{126}{5}}~~:~~\stackrel{Lila}{\cfrac{84}{5}}\qquad \implies \qquad \stackrel{Jack}{14}~~:~~\stackrel{Kate}{25(1)/(5)}~~:~~\stackrel{Lila}{16(4)/(5)}`