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

Answer:

Each bow costs $1.

Each roll of wrapping paper costs $9.

Step-by-step 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.