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A sporting goods store sells right-handed and left-handed baseballs gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left-handed gloves cost $52 each. How many of each type of glove were sold?

Respuesta :

absor201

3 left-handed and 9 right-handed gloves were sold.

Step-by-step explanation:

Let,

Left handed gloves = x

Right handed gloves = y

Cost of right-handed gloves = $45

Cost of left-handed gloves= $52

According to given statement;

x+y=12   Eqn 1

52x+45y=561   Eqn 2

[tex]From\ Eqn\ 1\\x=12-y\\Putting\ this\ value\ of\ x\ in\ Eqn\ 2\\52(12-y)+45y=561\\624-52y+45y=561\\-7y=561-624\\-7y=-63\\Dividing\ both\ sides\ by\ -7\\\frac{-7y}{-7}=\frac{-63}{-7}\\y=9\\Putting\ y=9\ in\ Eqn\ 1\\x+9=12\\Subtracting\ 9\ from\ both\ sidesx+9-9=12-9\\x=3[/tex]

3 left-handed and 9 right-handed gloves were sold.

Keywords: Linear equations, Substitution method.

Learn more about substitution method at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

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