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. Write a system of equations that could be used to find the cost of the wrapping papers.
- 8 months ago
Ok, so first, you need two variables to set up the system. Let's call the plain wrapping paper "p" and the holiday wrapping paper "h" for convenience. Next, we have to convert the words into math, which is the hardest part of every word problem. Make sure you break it down into sections and read all the numbers carefully. It says that Brenda sold 2 rolls of plain wrapping paper and 1 roll of holiday wrapping paper. That means for Brenda, we can rewrite her sales using the expression "2p + h" and because she made $41, we get the first equation "2p + h = 41." Next, we do the same thing for Jessica. She sold 7 rolls of plain wrapping paper and 1 roll of holiday wrapping paper, so that's "7p + h." She made $106 in total, so we have our second equation, "7p + h = 106." These two equations together are the system, which can be solved to find the specific values of "p" and "h" which you can do by elimination.
- ElaineLv 78 months ago
Brenda: 2 p + 1 h = $41
Jessica : 7 p + 1 h = $106
Use elimination to solve the pair of equations
1 Plain roll = $13
1 Holiday roll = $15