Sebastian needed to buy new tires for his car. The tire shop was running a holiday deal that allowed customers to buy three tires and get the fourth tire for $5. If the total price for all his tires was $237.50, what was the cost of each of the first three tires?(1 point)

Responses

A) $59.38

B) $77.50

C) $79.17

D) $80.83

1 answer

To find the cost of each of the first three tires, we can denote the cost of each of the first three tires as \( x \). The cost of the fourth tire, according to the promotion, is $5.

The total cost for the tires can then be expressed as: \[ 3x + 5 = 237.50 \]

To isolate \( x \), we first subtract $5 from both sides: \[ 3x = 237.50 - 5 \] \[ 3x = 232.50 \]

Next, we divide both sides by 3 to solve for \( x \): \[ x = \frac{232.50}{3} \] \[ x = 77.50 \]

Thus, the cost of each of the first three tires is \( \boxed{77.50} \).

Therefore, the correct response is B) $77.50.