Question

A sporting goods store sells sets of golf clubs with steel shafts for $309. Sets of golf clubs with graphite shafts cost $489. Last month the store sold 11 sets of golf clubs for $4,299. How many sets of each type of golf club were sold? Set up and solve a system of equations to find the answer.
A. Write the system of equations.

B. Find the solutions.

Answer 1

A)

Let s and g be the number of steel and graphite sets sold...then:

s+g=11 and

309s+489g=4299

B)

solving the first for g, g=11-s, then substituting this value of g in the second equation gives you:

309s+489(11-s)=4299

309s+5379-489s=4299

-180s+5379=4299

-180s=-1080

s=6, and since s+g+11

g=5

So the store sold 6 steel sets and 5 graphite sets.