Question: On a flight home from college, Elizabeth had to pay $20 to check her bag, plus $8 for every pound over the weight limit. On the flight back to college, she paid $26 to check her bag and $5 for every pound over the weight limit. If the total baggage fees were the same for each trip: 1. Write a system of equations to describe the situation. 2. How much over the weight limit was Elizabeth's bag? 3. What was the baggage fee paid to each airline?

If you could just give me a base to start off with.

Question

Michelle Shepard

Mathematics

30 May, 13:27

Question: On a flight home from college, Elizabeth had to pay $20 to check her bag, plus $8 for every pound over the weight limit. On the flight back to college, she paid $26 to check her bag and $5 for every pound over the weight limit. If the total baggage fees were the same for each trip: 1. Write a system of equations to describe the situation. 2. How much over the weight limit was Elizabeth's bag? 3. What was the baggage fee paid to each airline?

If you could just give me a base to start off with.

+1

Answers (1)

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Max · Answer 1

If the difference between the weight of her bag and the weight limit is x, the flight home charge is 20+8x and the flight back is 26+5x. These are equal: 20+8x=26+5x, so 3x=6 and x=2 lb, therefore the baggage fee home was 2*8=$16 and to college was 2*5=$10. The bag was 2lb over the weight limit and the fees were $16 and $10.