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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? 

 Feb 9, 2021
 #1
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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

 

 

cool cool cool

 Feb 9, 2021

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