Answer:
Explanation:
Let x be the number of hours worked
Let C = the charge made by the first company
Let c = the charge made by the second company
You want to know when the costs will be =.
Equations
C = 376 + 12x
c = 280 + 15x
Solution
Make the two right sides equal
376 + 12x = 280 + 15x Subtract 12x from both sides
376 = 280 + 15x - 12x Combine like terms on the right
376 = 280 + 3x Subtract 280 from both sides
376 - 280 = 3x Combine
96 = 3x Divide both sides by 3
32 = x
Each company would have to work 32 hours to get the same amount to be charged.
C = 376 + 12x
C = 376 + 12*32
C = 376 + 384
C = 760
The amount each would charge is 760