Question

Kofi spent 1/3 of his weekly money on food and 2/5 on sweets. If he spent 2/4 of the remainder on something else and is still left with GH$20, how much is he given weekly?

A) GH$75
B) GH$100
C) GH$120
D) GH$150

Answer 1

Kofi is given GH$100 weekly.

Step-by-step explanation:

To find out how much money Kofi is given weekly, we need to work backwards from the given information. Let's start by assuming Kofi is given x amount of money weekly.

If he spent 1/3 of his money on food, he would have (2/3)x left. If he then spent 2/5 of this remaining money on sweets, he would have (3/5)((2/3)x) = (6/15)x = (2/5)x left.

Next, if he spent 2/4 of this remaining money on something else, he would have (2/4)((2/5)x) = (4/20)x = (1/5)x left. We are told that this amount is GH$20, so:

(1/5)x = GH$20

Multiplying both sides of the equation by 5, we have:

x = GH$100

Therefore, Kofi is given GH$100 weekly.