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

Answer:

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

Step-by-step 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