Question

HELP ASAP!! PLEASE
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Edna flew home from vacation with a heavy bag. With the first airline she flew, Edna had to pay $28 to check her bag, plus $15 for every kilogram that her bag was over the weight limit. The next flight was with another airline that had the same weight limit. Edna had to pay $11 per kilogram that her bag was over the weight limit, in addition to the checked bag fee of $32. By coincidence, the fees ended up being the same with both airlines. How far over the weight limit was the bag? How large was each airline's fee?


The bag was (__) kilograms over the weight limit, and each airline's fee was $(__)
.

Answer 1

Answer:

The bag was 1 kilograms over the weight limit, and each airline's fee was $43

Step-by-step explanation:

Here, let overweight = x

at the first airline,

she had to pay 28+15x

and at second airline,

she had to pay 32+11x

but by coincidence, both airline charges found to be same at the end.

thus,

28+15x=32+11x. should be equal

4x=4

x=1

then overweight found to be 1kg.

and both airline fee,

28+15(1)=43

32+11(1)=43