SOLUTION: heavy equipment operators get paid 138 per day and general laborers get paid 96 per day. if 32 people were hired and the payroll was 4290 how many heavy equipment operators were hi

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Question 1123458: heavy equipment operators get paid 138 per day and general laborers get paid 96 per day. if 32 people were hired and the payroll was 4290 how many heavy equipment operators were hired? how many general laborers were hired?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
HE=x
L=32-x
so x+32-x=32 and
138*x+96(32-x)=4290
138+3072-96x=4290
42x=1218
x=29 heavy equipment operators @138=$4002 ANSWER
32-x=3 general laborers @96=$288 ANSWER
Adds to 4290
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.
heavy equipment operators get paid 138 per day and general laborers get paid 96 per day.
if 32 people were hired and the payroll was 4290 how many heavy equipment operators were hired?
how many general laborers were hired?
~~~~~~~~~~~~~~~~~~~~ 

Let x = number of heavy equipment operators employed

Then  32-x = number of laborers employed


    138x + 96(32-x) = 4290


    138x + 96*32 - 96x = 4290


    (138-96)*x = 4290 - 96*32


    x =  = 29.


    32 - x =3


number of heavy equipment operators employed = 29
number of laborers employed = 3


Check.  29*138 + 3*96 = 4290.   ! Correct !


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