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 Elizabethโ€™s bag? 3. What was the baggage fee paid to each airline?

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

Respuesta :

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 2ร—8=$16 and to college was 2ร—5=$10. The bag was 2lb over the weight limit and the fees were $16 and $10.