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A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Which system of equations can be used to find the num…
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A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Which system of equations can be used to find the num…
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Aug 15, 2019
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A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought? (5 points)
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Anton Holmberg
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Hello!
You can make two equations based on what you know
He bought 6 items
x + y = 6
A pencil cost $1 and a pen cost $1.50
1x + 1.50y = 7
This can be simplified to
x + 1.50y = 7
Now you solve the system of equations
x + y = 6
x + 1.50y = 7
You can subtract the equations from each other to get rid of x
-0.5y = -1
Divide both sides by -0.5
y = 2
Put this into one of the original equations
x + 2 = 6
Subtract 2 from both sides
x = 4
He bought 4 pencils and 2 pens
Hope this helps!
Chris Charles
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Aug 19, 2019
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Chris Charles
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