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Mac's Grocery has 25 employees. The average daily wage for a teen is $52, and the average daily wage for an adult is $90. If the daily payroll is $1,984, how many teens and how many adults are employed?
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Mar 26, 2022
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Mac's Grocery has 25 employees. The average daily wage for a teen is $52, and the average daily wage for an adult is $90. If the daily payroll is $1,984, how many teens and how many adults are employed?
Mathematics
high-school
Nathan Smith
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The answer would be 18 adults and 7 teens. 90 times 18 equals 1,620 and 52 times 7 equals 364. 1,620+364=1,984.
Steve Hill
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Mar 28, 2022
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These questions used to make me cry.
18 adults, 7 teens
——————-
We’ll call a the number of adult employees, and t the number of teen employees.
We know a + t = 25
We also know 90a + 52t = 1984
(The amount paid to adults times the number of adults plus the amount paid to teens times the number of teens = weekly payroll.)
a + t = 25
90a + 52t = 1984
We’ll solve for a in terms of t
a = 25 - t
Then substitute that into the other equation. Then we can get a numerical value for t.
90(25-t) + 52t = 1984
2250 - 90t + 52t = 1984
266 = 38t
t = 7
Then we substitute that into our first equation to solve for a
a + 7 = 25
a = 18
Checking the math:
90(18) + 52(7) = 1620 + 364 = 1984
Let me know if you have questions.
Spioter
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Apr 1, 2022
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