Question

Mike and Molly share some money in the ratio 2 : 3.

Molly gets 135 AED more than Mike.

(b) How much do they each get?

Answer 1

Mike 270

Molly 405

Explanation:

Let Mike be x

Let Molly be x + 135

2/3 = x/(x + 135) Cross Multiply

2*(x + 135) = 3x Remove the brackets

2x + 270 = 3x Subtract 2x from both sides

2x-2x + 270 = 3x - 2x

270 = x

Mike gets 270

Molly gets 270 + 135

Molly gets 405