Question

Carl needs to save $125 to buy a new bicycle. He has $25 saved and a summer job that pays $5 per hour. Write the equation to find how many hours he would have to work, and then solve for x.

Answer 1

Carl needs to work 20 hours at his summer job, which pays $5 per hour, to save enough money to purchase a $125 bicycle when he has already saved $25.

Step-by-step explanation:

Carl needs to save an additional $100 ($125 total - $25 already saved) to buy a new bicycle. If he earns $5 per hour at his summer job, we can write an equation to find out how many hours (x) he must work to save enough money.

The equation representing the situation is:

y = 5x + 25

Here, y represents the total amount of money Carl will have saved after working x hours. Since we're looking to find out when Carl will have $125, we set y to 125 and solve for x:

125 = 5x + 25
125 - 25 = 5x
100 = 5x
x = 100 / 5
x = 20

Carl will need to work 20 hours to save enough money to buy the new bicycle.