Question

An airline charges $40 per bag that weighs less than 50 pounds and an additional $1.15 for each pound over 50. A customer was charged $45.75 for a single bag. How much did the bag weigh?""

Answer 1

The bag weighs approximately 55 pounds.

Step-by-step explanation:

To find the weight of the bag, you can set up an equation using the given information. Let's call the weight of the bag 'w'. According to the question, the bag weighs less than 50 pounds, so the first part of the cost is $40. For each pound over 50, there is an additional cost of $1.15. This can be represented as 1.15(w - 50). The total cost of the bag is $45.75. Therefore, the equation becomes:

40 + 1.15(w - 50) = 45.75

Simplifying the equation:

1.15w - 57.5 + 40 = 45.75

1.15w - 17.5 = 45.75

1.15w = 63.25

w = 63.25 / 1.15

w ≈ 55

Therefore, the bag weighs approximately 55 pounds.