Question

An airline charges one fee for small luggage bags, and a larger fee for large luggage bags. One family checks five small bags and three large bags and pays $260 in luggage fees. Another family checks four small bags and two large bags and pays $200 in luggage fees. What are the charges for small luggage bags and large luggage bags?

Answer 1

X=small bag
y=large bag

5x+3y=260
4x+2y=200

(5x+3y=260)*4 =20x+12y=1040
(4x+2y=200)*5 =20x+10y=1000

subtract two equations: 2y=40
divide:                           y=20
plug y in                         5x+3*20=260
simplify                         x=40

small bag=$40
large bag=$20

Answer 2

5s + 3l = 260.....multiply by 2
4s + 2l = 200.....multiply by -3
----------------
10s + 6l = 520...result of multiplying by 2
-12s - 6l = -600...result of multiplying by -3
----------------add
-2s = - 80
s = -80/-2
s = 40 <==== small bags

5s + 3l = 260
5(40) + 3l = 260
200 + 3l = 260
3l = 260 - 200
3l = 60
l = 60/3
l = 20 <== large bags

ok....did u write the question correctly ? because I am getting small bags costing more then the large ones.