Carole has $53.95 and washes cars for $8 each. Carole wants to attend a musical that costs $145.75.

a. Write and solve an inequality to determine the minimum number of cars Carole must wash to be able to buy the ticket to the musical.

b. Is the answer to the question that same as the solution to the inequality? Explain.

Step-by-step explanation:

Let x represent the minimum number of cars Carole must wash to be able to buy the ticket to the musical.

Carole has $53.95 and washes cars for $8 each. This means that the total amount that she would earn after washing x cars is

8x + 53.95

Carole wants to attend a musical that costs $145.75. Therefore, the inequality to determine the minimum number of cars that Carole must wash to be able to buy the ticket to the musical is

8x + 53.95 ≥ 145.75

8x ≥ 145.75 - 53.95

8x ≥ 91.8

x ≥ 91.8/8

x ≥ 11.475

b) it is not the same. The minimum number of cars that Carole must wash is 12 because the number of cars cannot be a fraction and if she washes 11 cars, she cannot raise the needed amount.