word problem

Question

A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 2 sleeping bags, and 5 camp stools for $140. The price of the tent is 9 times the cost of a camp stool. The cost of a sleeping bag is $30 more than the cost of a camp stool. Find the cost of each item

Answer 1

Let      x = 1 tent                                                       x + y + z = $140

          y = 2 sleeping bags

          z = 5 camp stools

 

Tent is 9 times that of a camp stool     x = 9z

 

Sleeping bag is $30 more than a camp stool      y = z + 30

 

substitute values     9z + 2(z+30) + 5z = 140

            

                            9z + 2z + 60 + 5z = 140

 

                            16z + 60 = 140

 

                             16z = 80

 

                               z=5                                   Substitute Z into the top two equations to get the price of the sleeping bag and then the price of the sleeping bag.   GOOD LUCK