help please?

Question

a small company manufactures two products. it costs $1.75 per unit and 1 hour of labor to manufacture the first product and $2.25 per unit and 2 hours to manufacture the second unit. if the company used 86 hours of labor and had a total cost of $118.00, how many units of each product were manufactured?

Answer 1

x=# of $1.75 units

y=# of $2.25 units

1.75x+2.25y=118

x+2y=86

x=86-2y

substitute

1.75(86-2y)+2.25y=118

150.5-3.5y+2.25y=118

150.5-1.25y=118

-1.25y=118-150.5

-1.25y=-32.5

1.25y=32.5

multiply both sides by 4

5y=130

y=130/5

y=26 of the $2.25 units

x=86-2(26)

x=86-52

x=34 of the $1.75 units

check:

34*1.75+26*2.25=59.5+58.5=$118