Question

Jamie and Katie share £30 in the ratio 1:3, how much does Jamie get?

Answer 1

let's divide the £30 by "1 + 3" and distribute accordingly.

`\stackrel{Jamie}{1}~~ : ~~\stackrel{Katie}{3}\implies \stackrel{Jamie}{1\cdot (30)/(1+3)}~~ : ~~\stackrel{Katie}{3\cdot (30)/(1+3)}\implies \stackrel{Jamie}{1\cdot (30)/(4)}~~ : ~~\stackrel{Katie}{3\cdot (30)/(4)} \\\\\\ \stackrel{Jamie}{1\cdot (15)/(2)}~~ : ~~\stackrel{Katie}{3\cdot (15)/(2)}\implies \stackrel{Jamie}{(15)/(2)}~~ : ~~\stackrel{Katie}{(45)/(2)}\implies \stackrel{Jamie}{\pounds 7.5}~~ : ~~\stackrel{Katie}{\pounds 22.5}`