Question

The marching band sold gift wrap priced at $4.00 per roll for solid colors and $6.00 per roll for print patterns. If they sold 480 rolls of gift wrap and collected $2340,the how many rolls of each type of gift wrap did they sell

Answer 1

The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210

Explanation:

Let

x ---> the number of gift wrap rolls for solid colors sold

y ---> the number of gift wrap rolls for sprint patterns sold

we know that

`x+y=480` ---->
`x=480-y` ----> equation A

`4x+6y=2,340` ----> equation B

Solve the system by substitution

substitute equation A in equation B

`4(480-y)+6y=2,340`

solve for y

`1,920-4y+6y=2,340`

`-4y+6y=2,340-1,920`

`2y=420`

`y=210`

Find the value of x

`x=480-y` ---->
`x=480-210=270`

therefore

The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210