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Staples sells boxes of pens for 10 dollars, and rubber bands for 6 dollars. Fiona order 22 cartons for $192. How many boxes of each did she order?

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Answer to a math question Staples sells boxes of pens for 10 dollars, and rubber bands for 6 dollars. Fiona order 22 cartons for $192. How many boxes of each did she order?

Expert avatar
Lurline
4.6
108 Answers
Step 1: Define variables: Let x be the number of boxes of pens and y be the number of boxes of rubber bands.

Step 2: Set up equations based on the problem:
x + y = 22
10x + 6y = 192

Step 3: Solve the first equation for y:
y = 22 - x

Step 4: Substitute y in the second equation:
10x + 6(22 - x) = 192

Step 5: Distribute the 6:
10x + 132 - 6x = 192

Step 6: Combine like terms:
4x + 132 = 192

Step 7: Isolate x:
4x = 60
x = 15

Step 8: Substitute x back into the equation for y:
y = 22 - 15
y = 7

Answer:
x = 15 \text{ and } y = 7

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