SOLUTION: A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 5 sleeping bags, and 2 camp stools for $231. The cost of the sleeping bag is $21 more than the cost of

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 5 sleeping bags, and 2 camp stools for $231. The cost of the sleeping bag is $21 more than the cost of      Log On


   



Question 1201899: A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 5 sleeping bags, and 2 camp stools for $231. The cost of the sleeping bag is $21 more than the cost of a camp stool. Find the cost of each item.
Found 3 solutions by ikleyn, josgarithmetic, greenestamps:
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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A store sells tents, sleeping bags, and camp stools.
A customer buys a tent, 5 sleeping bags, and 2 camp stools for $231.
The cost of the sleeping bag is $21 more than the cost of a camp stool.
Find the cost of each item.
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Let x be the price for a camp chair (in dollars).

Then the price for each sleeping bag is (x+21) dollar;
5 sleeping bags cost 5(x+21) dollars.

Let y be the price for the tent.


Then we have one single equation for the total cost

    x + 5(x+21) + y = 231,

or

    6x + 105 + y = 231,

    6x + y = 231 - 105

    6x + y =   126.


Thus we have one equation for two unknowns.


It is not enough to find two unknowns.


The conclusion is that the problem is INCOMPLETE: it does not provide enough information to be solved.


ANSWER.  The problem is INCOMPLETE: it does not provide enough information to be solved.

Solved,  answered and explained in full.

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In short terms,  the problem is  DEFECTIVE.



Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
                    PRICE         COUNT         COST

TENT                 t             1             t

SLEEP BAG            c+21          5           5(c+21)

CAMP TOOL            c             2           2c

COST of PURCHASE                               231

The best you can do is find an equation in two unknown variables.
t%2B5c%2B105%2B2c=231
t%2B7c=231-105
highlight_green%28t%2B7c=126%29--------not much more to do unless more information given

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


The problem is faulty. It can't be solved without any information about the cost of the tent.

Re-post the problem with all the required information.