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A manager purchased a total of 25 short sleeved and long sleeved shirts. Each short sleeved shirt costs $15 and each long sleeved shirt costs $20. If the manager spent a total of $425, how many short sleeved
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May 9, 2021
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A manager purchased a total of 25 short sleeved and long sleeved shirts. Each short sleeved shirt costs $15 and each long sleeved shirt
costs $20. If the manager spent a total of $425, how many short sleeved shirts did the manager buy?
Mathematics
college
Cassianoleal
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ANSWER: 15 short sleeved shirts
Steps:
Use system of equations where x is short sleeved and y is long sleeved.
x+y=25
15x+20y=425
Make the coefficient of x the same in both equations.
Solve by elimination
15x+15y=375
-15x+20y=425
=-5y=-50
Divide both sides by -5 to isolate x
= y=10
This is the number of long sleeved shirts the manager bought.
Substitute y into the second equation to find the number of short sleeved shorts the manager bought.
15x+20(10)=425
= 15x+200=425
= 15x=225
= x=15
So the final answer is that the manager bought a total of 15 short sleeved shirts and 10 long sleeved shirts.
Kfeeney
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May 15, 2021
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Kfeeney
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