Question

Ty spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her $150, what were her original savings?

Answer 1

Let x = amount ($) of original savings

then

(3/4)x = cost of furniture

and so,

(1/2)(x - (3/4)x) = cost of fridge

(1/2)(x - (3/4)x) = 150

multiplying both sides by 2:

(x - (3/4)x) = 300

multiplying both sides by 4:

4x - 3x = 1200

x = $1200

Hope this helps you.