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Vera_Pavlovna [14]
3 years ago
6

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?
Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

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

<em><u>Solution:</u></em>

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

Given that,

<em><u>Carlos earns $7.25 per hour plus a $10 bonus</u></em>

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

<em><u>Mike earns $7.75 per hour plus a $5 bonus</u></em>

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

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