Question

Latoya's family of 4 goes to a museum. They purchase 4 tickets, and they use a coupon that takes $3.75 off the cost of each ticket. If the family paid a total of $59, what was the cost of each ticket?

a) $15.25
b) $14.25
c) $12.25
d) $11.25

Answer 1

The original cost of each museum ticket before the coupon discount was calculated to be $18.50 by setting up an equation with x representing the original ticket price. However, this answer does not match any of the provided multiple-choice options, suggesting a potential typo or mistake in the question.

Step-by-step explanation:

To find the original cost of each ticket before the coupon discount, we can set up an equation. Let x represent the original price of one ticket. Since Latoya's family bought 4 tickets and used a coupon that takes $3.75 off the cost of each ticket, we can express the total price they paid as:

4 × (x - 3.75) = 59

First, distribute the 4 across the parentheses:

• 4x - 4 × 3.75 = 59
• 4x - 15 = 59

Next, add 15 to both sides of the equation to solve for x:

• 4x = 59 + 15
• 4x = 74

Now, divide both sides by 4 to find the original price of one ticket:

• x = 74 ÷ 4
• x = 18.50

Therefore, the original cost of each ticket before the coupon discount was $18.50.

After checking against the provided multiple-choice options, none match the calculated price. Since the student specified a total paid of $59, it seems there might have been a mistake either in the question or in the provided options. It's important to consider that typos or other mistakes can sometimes occur in the question itself.