Vincent spent 4/7 of his money on a pair of shoes. The shoes cost $48. How much money did he have at first?
4/7x = 48
Solve for x.
To find out how much money Vincent had at first, we need to determine the total amount of money he spent on the shoes.
He spent 4/7 of his money on the shoes, which cost $48.
Let's represent the total amount of money Vincent had at first with the variable "x".
To determine how much money he spent on the shoes, we need to calculate 4/7 of "x".
So, (4/7) * x = $48.
To solve this equation, we need to isolate the variable "x".
Multiplying both sides of the equation by (7/4), we get:
x = ($48) * (7/4)
x = $84
Therefore, Vincent had $84 at first.
To find out how much money Vincent had at first, we can set up an equation using the information given.
Let's assume Vincent had x amount of money initially.
He spent 4/7 of his money on a pair of shoes, which cost $48.
So, the expression 4/7 * x represents the amount of money he spent on the shoes.
Since we know this amount is $48, we can create the equation:
4/7 * x = $48
To solve for x, we need to isolate it on one side of the equation. To do this, we can multiply both sides of the equation by the reciprocal of 4/7, which is 7/4.
(4/7 * x) * (7/4) = $48 * (7/4)
Simplifying, we get:
x = $336/4
x = $84
Therefore, Vincent had $84 initially.