SOLUTION: A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 4 sleeping bags, and 5 camp stools for $258. The price of the tent is 8 times the cost of a camp stool.

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Question 1179381: A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 4 sleeping bags, and 5 camp stools for $258. The price of the tent is 8 times the cost of a camp stool. The cost of a sleeping bag is $39 more than the cost of a camp stool. Find the cost of each item.
a) $48 for a tent; $50 for a sleeping bag; $11 for a camp stool
b) $56 for a tent; $45 for a sleeping bag; $7 for a camp stool
c) $48 for a tent; $45 for a sleeping bag; $7 for a camp stool
d) $48 for a tent; $45 for a sleeping bag; $6 for a camp stool
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
ITEM       PRICE        QUANTITY        COST
tent        8x              1
bag         x+39            4
stools        x             5
SUM                                     258

You know what to do.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The given information compares the prices of both a tent and a sleeping bag to the price of a camp stool; so use the price of a camp stool as your variable:

x = price of a camp stool
8x = price of a tent (8 times as much as a camp stool)
x+39 =price of a sleeping bag ($39 more than a camp stool)

The total price for a tent, 4 sleeping bags, and 5 camp stools is $258:

%288x%29%2B%284%28x%2B39%29%29%2B%285%28x%29%29+=+258

Solve using basic algebra.

I leave it to you to get the practice doing the algebra to finish working the problem.

(You should find that the cost of a camp stool is $6.)