Question

A sum of money is shared between Aaron and Betty in the ratio 2:5 Aaron received $60.How much money was shared altogether?

Answer 1

well, we know Aaron received $60, and we also know that Aaron and Betty are sharing the total on a 2:5 ratio, thus

`\cfrac{Aaron}{Betty}~~ = ~~\cfrac{2}{5}\implies \cfrac{60}{Betty}~~ = ~~\cfrac{2}{5}\implies (60)(5)=(Betty)(2) \\\\\\ \cfrac{(60)(5)}{2}=Betty\implies 150=Betty~\hfill \underset{\textit{total money shared}}{\stackrel{60~~ + ~~150}{210}}`

Answer 2

The answer is $210.

Explanation:

60/2 = 30. 30*5= 150. 150+60=210.