Problema Solution
A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 5 sleeping bags, and 5 camp stools for $272. The price of the tent is 7 times the cost of a camp stool. The cost of a sleeping bag is $34 more than the cost of a camp stool. Find the cost of each item.
Answer provided by our tutors
let
x = the cost per tent
y = the cost per sleeping bag
z = the cost per camp stool
A customer buys a tent, 5 sleeping bags, and 5 camp stools for $272:
x + 5y + 5z = 272
The price of the tent is 7 times the cost of a camp stool:
x = 7z
The cost of a sleeping bag is $34 more than the cost of a camp stool:
y = 34 + z
by solving the system of equations:
x + 5y + 5z = 272
x = 7z
y = 34 + z
we find:
x = $42
y = $40
z = $6
click here to see the step by step solution of the system of equations:
each tent costs $42, each sleeping bag costs $40, and each camp stool costs $6.