The booster club recently bought new basketball equipment. they spent $18 per glove and $24 per catcher’s mask, and spent a total of $612. if they bought 8 more masks than gloves, how many of each did they buy? write the system of equation and solve.

They bought 18 masks and 10 gloves.

Explanation:

Let the number of gloves be x. It is mentioned in the question that they bought 8 more masks than gloves.  

Therefore the number of masks=x+8

Price of one glove=$18

Price of one mask=$24

Total amount spent=$612

We have to represent the situation in the form of an equation

18x+24(x+8)=612

18x+24x+192=612

42x+192=612  

42x=612-192=420

x=420/42=10

number of gloves=x=10

number of masks=x+8=10+8=18