Micaela and Trevon are selling wrapping paper for a school fundraiser.

Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper.

Micaela sold 2 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of $37.28. Trevon sold 7 rolls of plain wrapping paper and 7 rolls of holiday wrapping paper for a total of $182.28.

What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?

For the system of equations, we consider the cost of a roll of plain wrapping as x and the cost of a roll of holiday wrapping as y.
2 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of $37.28, thus:

[tex]2x + y = 37.28 \rightarrow y = 37.28 - 2x[/tex]

Trevon sold 7 rolls of plain wrapping paper and 7 rolls of holiday wrapping paper for a total of $182.28, thus:

[tex]7x + 7y = 182.28[/tex]

Simplifying everything by 7.

[tex]x + y = 26.04[/tex]

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Considering [tex]y = 37.28 - 2x[/tex]

[tex]x + 37.28 - 2x = 26.04[/tex]

[tex]x = 11.24[/tex]

[tex]y = 37.28 - 2(11.24) = 14.80[/tex]

One roll of plain wrapping paper costs $11.24.

One roll of holiday wrapping paper costs $14.80.

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