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?

Guest Feb 9, 2021

#1**+1 **

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

CPhill Feb 9, 2021