Given:
Savings for each week = $25
Amount required before Carlos purchase a car = $565
To find:
The number of full weeks in which he will have enough money to purchase the car.
Solution:
Let the required number of weeks be x.
Savings for 1 week = $25
Savings for x week = $25x
Savings must be greater than equal to $565 to purchase the car.
[tex]25x\geq 565[/tex]
Divide both sides by 25.
[tex]x\geq \dfrac{565}{25}[/tex]
[tex]x\geq 22.6[/tex]
So, the smallest possible integer value of x is 23.
Therefore, 23 week are required to have enough money to purchase the car.