A sports equipment store is having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccer bags for $155. Another soccer coach purchases 12 soccer balls and 2 soccer bags for $184. Write a system of equations to determine how much each soccer ball and each soccer bag costs. How much does a soccer ball cost and how much does a bag cost?
+128473 Let the cost of a soccer ball = S
Let the cost of a soccer bag = B
So
10S + 2B = 155
12S + 2B = 184 subtract the first equation from the second
2S = 29 divide both sides by 2
S =29/2 = $14.50 = the cost of a soccer ball
So
10 (14.50) + 2B =155
145 + 2B =155
2B = 155 -145
2B = 10
B = $ 5 the cost of a soccer bag
