Solve Problems Using Systems in Three Variables
-A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 5 sleeping bags, and 2 camp stools for $\$ 360$. The price of the tent is 9 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.
A) $\$ 90$ for a tent; $\$ 50$ for a sleeping bag; $\$ 10$ for a camp stool
B) $\$ 90$ for a tent; $\$ 50$ for a sleeping bag; $\$ 11$ for a camp stool
C) $\$ 90$ for a tent; $\$ 55$ for a sleeping bag; $\$ 15$ for a camp stool
D) $\$ 99$ for a tent; $\$ 50$ for a sleeping bag; $\$ 11$ for a camp stool

Question

Quizplus · Accepted Answer

Let the cost of a camp stool be $x$, the cost of a tent be $9x$ (since the tent is 9 times the cost of a camp stool), and the cost of a sleeping bag be $x + 40$ (since it's $40$ more than the cost of a camp stool). The equation based on the total cost is $9x + 5(x + 40) + 2x = 360$. Solving this equation gives $x = 10$, so the cost of a camp stool is $\$10$, the tent is $\$90$, and the sleeping bag is $\$50$.

Solve Problems Using Systems in Three Variables -A Store Sells $360\$ 360$360

Solve Problems Using Systems in Three Variables
-A Store Sells $\$ 360$