151k views
5 votes
benji and joel are raising money for their class trip by selling gift wrapping paper. benji raises $39 by selling 5 rolls of red wrapping paper and 2 rolls of foil wrapping paper. joel $57 by selling 3 rolls of red wrapping paper and 6 rolls of foil wrapping paper. for how much are benji and joel selling each roll of red and foil wrapping paper.

User Deepi
by
6.9k points

1 Answer

4 votes

Benji and Joel selling each roll of red wrapping paper will be $1.25.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Benji and Joel are fund-raising for their group trip by selling gift wrapping paper. Benji raises $15 by selling 4 rolls of red wrapping paper and 4 rolls of foil wrapping paper. Joel raises $15 by selling 8 rolls of red wrapping paper and 2 rolls of foil wrapping paper.

Let 'x' be the cost of each red wrapping paper and 'y' be the cost of each foil wrapping paper. Then the equations are given as,

4x + 4y = 15 ...1

8x + 2y = 15

4x + y = 15/2 ...2

From equations 1 and 2, then we have

4y - y = 15 - 15/2

3y = 7.5

y = $2.5

Then the value of 'x' is given as,

4x + 4(2.5) = 15

4x + 10 = 15

4x = 5

x = $1.25

Benji and Joel selling each roll of red wrapping paper will be $1.25.

User Jiang YD
by
7.0k points