sukainasayed
contestada

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.

Respuesta :

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

lhmarianateixeira

In this exercise we have to use the knowledge of finance to solve the system, in this way we can say that:

They bought 18 masks and 10 gloves.

Then we can simplify the information given in the text as:  

  • 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, will be:

[tex]18x+24(x+8)=612\\ 18x+24x+192=612\\ 42x+192=612 \\ 42x=612-192=420\\ x=420/42=10 [/tex]

See more about system at brainly.com/question/7589753

Otras preguntas