Jeremy spent \frac{1}{5} of his money and \frac{1}{8} of the remaining money on some drinks. He was then left with $21. How much money did he have at first?
Answer (1)
To find out how much money Jeremy had at first, we need to set up an equation based on the information provided.
Let's break it down step by step:
Let x be the total amount of money Jeremy initially had.
Jeremy spent 5 1 of his money.
Therefore, the amount left after this spending is:
x − 5 1 x = 5 4 x
He then spent 8 1 of the remaining money on some drinks.
The amount spent on drinks is:
8 1 × 5 4 x = 10 1 x
The amount of money he has left is $21.
So, after spending on drinks, the remaining money is:
5 4 x − 10 1 x = 10 8 x − 10 1 x = 10 7 x
According to the problem,
10 7 x = 21
Solve for x .
To find x , multiply both sides of the equation by 7 10 :
x = 21 × 7 10
x = 30
Therefore, Jeremy originally had $30.
