SOLUTION: A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 2 sleeping bags, and 5 camping stools for $220. The price of the tent is 7 times the cost of a camp sto

Question 736486: A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 2 sleeping bags, and 5 camping stools for $220. The price of the tent is 7 times the cost of a camp stool. The cost of a sleeping bag is $40 more than the cost of a camp stool. Find the cost of each item.
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!
let
camp stools cost x dollars then
tent would cost 7x dollars and
sleeping bag cost would be x+40
A customer buys a tent, 2 sleeping bags, and 5 camping stools for $220, so now we plug in the above defined cost into this sentence to make equation out of it.
one tent would cost 1*7x
2 sleeping bags would cost 2(x+40)
5 camping stools would cost 5x
Next we add them all up and make the sum equal to 220
7x+2(x+40)+5x=220 now we solve for x
7x+2x+80+5x=220
14x=140 divide both sides by 14
x=10 now go back all the way to the top where we defined how much everything cost and plug in 10 where you see x
camp stools cost x dollars so camp stools cost $10
tent would cost 7x dollars so tent costs 7*10=$70
sleeping bag cost would be x+40 so sleeping bag cost is 10+40=$50

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