Answer: the cost of a tent is $45
the cost of a sleeping bag is $35
the cost of a camp stool is $5
Step-by-step explanation:
Let x represent the cost of a tent.
Let y represent the cost of a sleeping bag.
Let z represent the cost of a camp stool.
A customer buys a tent, 3 sleeping bags, and 4 camp stools for $170. It means that
x + 3y + 4z = 170- - - - - - - - - - - - - - -1
The price of the tent is 9 times the cost of a camp stool. It means that
x = 9z
The cost of a sleeping bag is $30 more than the cost of a camp stool. It means that
y = z + 30
Substituting x = 9z and y = z + 30 into equation 1, it becomes
9z + 3(z + 30) + 4z = 170
9z + 3z + 90 + 4z = 170
9z + 3z + 4z = 170 - 90
16z = 80
z = 80/16
z = 5
y = z + 30 = 5 + 30
y = 35
x = 9z = 9 × 5
x = 45
