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
