8. Mehrab works in a department store selling
sports equipment. Baseball gloves cost $29
each and bats cost $14 each. One shift, he
sells 28 items. His receipts total $647.
a) How many bats did Mehrab sell?
b) How many gloves did he sell?

Mehrab sold  11 bats and 17 gloves.

Step-by-step explanation:

Let x represent the number of gloves and y represents the number of bats.

Then on one shift Mehrab has sold 28 items

so , x+y = 28 .....................................(1)

The cost of all 28 items  is $647

that is, cost of x gloves + cost of y bats  = 647

x(29) + y (14) =  647...................................(2)

Multiply eq(1) by 14 , we get

14x +14y = 392.....................................(3)

Subracting (3) from (2)

29x +  14y =  647

14x +    14y =  392

------------------------------

15x + 0y =  255

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15x =  255

x  =

x =  17

Substituting the x value in  eq(1), we get

17 + y = 28

y =  28 -17

y = 11