An airline charges one fee for small luggage bags, and a larger fee for large luggage bags. One family checks five small bags an d 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?
2 answers:
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
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.
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