Brenda and Jessica are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Brenda sold 2 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of $41. Jessica sold 7 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of $106. Find how much each type of wrapping paper costs per roll.
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absor201 absor201 · Answer 1 · 2019-11-26T10:21:10+01:00

1 roll of plain wrapping paper costs $13 and 1 roll of holiday wrapping paper costs $15.

Step-by-step explanation:

Let,

Roll of plain wrapping paper = x

Roll of holiday wrapping paper = y

According to given statement;

2x+y=41 Eqn 1

7x+4=106 Eqn 2

Subtracting Eqn 1 from Eqn 2

[tex](7x+y)-(2x+y)=106-41\\7x+y-2x-y=65\\5x=65[/tex]

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{65}{5}\\x=13[/tex]

Putting x=13 in Eqn 1

[tex]2(13)+y=41\\26+y=41\\y=41-26\\y=15[/tex]

1 roll of plain wrapping paper costs $13 and 1 roll of holiday wrapping paper costs $15.

Keywords: Linear equations, subtraction

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