Question

carrie is flying on two different airlines with a heavy bag both airlines have the same weight limit by charge different fees the first airline charges $25 checked bag fee plus an additional four dollars for every pound that the bag is over the weight limit with the second airline and the price is three dollars per pound over the weight limit and addition to a $28 fee for checking the bag Carrie ended up paying the exact amount and baggage fees at the two airlines how many pounds over the limit was Carrie’s bag how much did she have to pay in fees for each airline

Answer 1

Carrie's bag was 3 pounds over the weight limit and she paid $37 in fees for each airline.

Step-by-step explanation:

Let's denote the weight of Carrie's bag that is over the limit as x pounds. According to the problem, the first airline charges a $25 checked bag fee plus an additional $4 for every pound over the limit, making the total cost for the first airline 4x + 25. The second airline charges $3 per pound over the weight limit plus a $28 bag fee, totaling the cost to 3x + 28.

Since Carrie paid the same amount for both airlines, we can set the two total cost equations equal to each other:

4x + 25 = 3x + 28

Subtract 3x from both sides:

x + 25 = 28

Next, subtract 25 from both sides to solve for x:

x = 3 pounds

So, Carrie's bag was 3 pounds over the weight limit. Now, to find out how much she paid for each airline, substitute x back into the original equations:

For the first airline:

4(3) + 25 = $37

For the second airline:

3(3) + 28 = $37

Therefore, Carrie's bag was 3 pounds over the limit, and she had to pay $37 in fees for each airline.

Answer 2

Answer: Let x be the weight of the bag over the limit in pounds.

We know that both airlines have the same weight limit and Carrie paid the same baggage fee at each airline, so we can set up the following equation:

25 + 4x = 28 + 3x

Solving for x:

x = 25

So, Carrie's bag was 25 pounds over the weight limit.

To find the fee for each airline, we can substitute x into the equations for the fees:

Fee for the first airline: 25 + 4(25) = $125

Fee for the second airline: 28 + 3(25) = $103

Therefore, Carrie paid $125 in fees for the first airline and $103 in fees for the second airline.

Step-by-step explanation: