Carlos and mike work part time as salespeople for an electronics store. carlos earns $7.25 per hour plus a $10 bonus. mike earns $7.75 per hour plus a $5 bonus. for what number of hours do they earn the same amount?

Carlos and Mike earn same amount for 10 hours of part time work

Solution:

Let "x" be the number of hours worked by Carlos and mike

Given that,

Carlos earns $7.25 per hour plus a $10 bonus

Thus, total amount earned by Carlos for "x" hours is given by:

total earned = 7.25(number of hours) + $ 10

total earned = 7.25x + 10 eqn 1

Mike earns $7.75 per hour plus a $5 bonus

Thus, total amount earned by Mike for "x" hours is given by:

total earned = 7.75(number of hours) + $ 5

total earned = 7.75x + 5 eqn 2

To find number of hours, they earn same amount, equate eqn 1 and eqn 2

7.25x + 10 = 7.75x + 5

7.75x - 7.25x = 10 - 5

0.5x = 5

x = 10

Thus for 10 hours, they earn the same amount

the two may have that, even a breakdown is probably offered

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.