SOLUTION: A boy spends 57% of his pocket money. If the amount that he spends is ₦7 more than he has left, how much money had he originally?

Algebra ->  Test -> SOLUTION: A boy spends 57% of his pocket money. If the amount that he spends is ₦7 more than he has left, how much money had he originally?      Log On


   



Question 1205371: A boy spends 57% of his pocket money. If the amount that he spends is ₦7 more than he has left, how much money had he originally?
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

x = starting amount of money
0.57x = amount spent
x - 0.57x = 0.43x = amount leftover
He spent 57% of his money and keeps the remaining 43%.

The phrase "the amount that he spends is ₦7 more than he has left" leads to the equation: 0.57x = 0.43x+7

Let's solve for x.
0.57x = 0.43x+7
0.57x - 0.43x = 7
0.14x = 7
x = 7/0.14
x = 50

Answer: ₦50