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

Question

contestada

Respuesta :

calculista calculista · Answer 1 · 2019-12-11T09:06:26+01:00

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

[tex]x+y=480[/tex] ---->[tex]x=480-y[/tex] ----> equation A

[tex]4x+6y=2,340[/tex] ----> equation B

Solve the system by substitution

substitute equation A in equation B

[tex]4(480-y)+6y=2,340[/tex]

solve for y

[tex]1,920-4y+6y=2,340[/tex]

[tex]-4y+6y=2,340-1,920[/tex]

[tex]2y=420[/tex]

[tex]y=210[/tex]

Find the value of x

[tex]x=480-y[/tex] ----> [tex]x=480-210=270[/tex]

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