Let's work backwards to find the total amount of money Tumtuo had.
First, we know that he had GH₵10.50 left after all his spending.
Next, we need to undo the last step and add back the money he spent on classes. We know he spent 1/5 of what was still remaining at that point, so we can write an equation:
(1 - 1/4) * (1 - 1/6) * x - 1/5 * (1 - 1/4) * (1 - 1/6) * x = GH₵10.50
Simplifying the fractions on the left side:
3/4 * 5/6 * x - 1/20 * 3/4 * 5/6 * x = GH₵10.50
Multiplying the fractions:
15/24 * x - 3/480 * x = GH₵10.50
Simplifying:
5/8 * x - 1/160 * x = GH₵10.50
Combining like terms:
31/160 * x = GH₵10.50
Multiplying both sides by the reciprocal of 31/160:
x = GH₵54
So Tumtuo started with GH₵54.
Tumtuo spent1/ 4 of his money on food 1/6 of the remaining money on sweet and spent 1/5 of what still remaining on classes. If he had GHd10. 50p left on him what is the total amount of money Tumtuo had on him
1 answer