Question

When Dale moved to college, he had to take everything with him on the plane. At the airport, he paid to check 5 bags. Since all of his bags were over the weight limit, he had to pay an additional $8 fee for each bag. Dale paid a total of $190 to check his bags. Which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?

Answer 1

The equation to find the standard cost, x, for checking a bag under the weight limit is 5x + $40 = $190. Solving this equation, we find that x equals $30, which is the cost to check a bag that's under the weight limit.

Step-by-step explanation:

To find the amount of money, x, it costs to check a bag that's under the weight limit, we can set up an equation based on the information given:

Dale paid a total of $190 to check 5 bags, with each bag incurring an additional $8 fee because they were over the weight limit. Let's denote the standard cost to check a bag under the weight limit as x. Since Dale paid for 5 bags and each had an extra cost of $8 for being over the weight limit, the equation would be: 5x + (5 * $8) = $190.

To simplify, this is:

5x + $40 = $190

From this equation, we can solve for x to find the standard checking fee for a bag that's under the weight limit by subtracting the extra fees from the total and dividing by the number of bags:

5x = $190 - $40

5x = $150

x = $150 / 5

x = $30

Thus, the cost to check a bag under the weight limit is $30.