Question

you and your go shopping for gift wrap one day. You buy 3 rolls of wrapping paper and 5 bows for a total of $32. Your friend gets 1 roll of wrapping paper and 2 bows for $11. How much does each roll of wrapping paper (x) and each bow (y) cost?

Answer 1

Each roll costs $9 and each bow costs $1

3(9) + 5(1)= 32
1(9) + 2(1) = 11

Answer 2

Each bow costs $1.

Each roll of wrapping paper costs $9.

Explanation:

This question can be solved by a system of equations.

The problem says that:

x is the number of rolls of wrapping paper.

y is the number of bows.

You buy 3 rolls of wrapping paper and 5 bows for a total of $32.

This means that
`3x + 5y = 32`.

Your friend gets 1 roll of wrapping paper and 2 bows for $11.

This means that
`x + 2y = 11`. So
`x = 11 - 2y`.

Replacing in the first equation.

`3x + 5y = 32`

`3(11 - 2y) + 5y = 32`

`-y + 33 = 32`

`y = 1`

Each bow costs $1.

`x = 11 - 2y = 11 - 2 = 9`

Each roll of wrapping paper costs $9.