A sporting goods store sells right-handed baseball gloves and left handed baseball gloves. In 1 month 12 gloves were sold for a total revenue of $561. Right-handed gloves cost $45 and left-handed gloves cost $52. How many of each type of gloves did they sell?

x = number of right-handed gloves
12 - x = number of left-handed gloves

45x + 52 (12 - x) = 561
distribute
45x + 624 - 52x = 561
combine like terms
-7x + 624 = 561
subtract 624 from both sides
-7x = -63
divide both sides by -7
x = 9 (amount of right handed gloves)

12 - 9 = 3 (amount of left handed gloves)

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lhabdulsamirahmed lhabdulsamirahmed · Answer 2 · 2022-01-21T12:09:57+01:00

They sold 3 left handed gloves and 9 right handed gloves.

To solve this problem, we have to write a system of equations.

Data given;

total number of gloves = 12
revenue for 12 gloves = $561
right handed gloves (x) = 45
left handed gloves (y) = 52

Equations

[tex]x + y = 12...equation (i)\\ 45x + 52y = 561 equation (ii)[/tex]

From equation (i)

[tex]x + y = 12\\ x = 12 - y...equation (iii)[/tex]

Substitute equation (iii) into equation (ii)

[tex]45x + 52y = 561\\ x = 12 - y\\ 45(12- y) + 52y = 561\\ 540 - 45y +52y = 561\\ 540 + 7y = 561\\ 7y = 21\\ y = 3[/tex]

Put y = 3 in equation (i)

[tex]x + y = 12\\ x + 3 = 12\\ x = 9[/tex]

From the calculations above, they sold 9 right handed gloves and 3 left handed gloves

Learn more on system of equations here;

https://brainly.com/question/14323743