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:The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210Step-by-step explanation:Letx ---> the number of gift wrap rolls for solid colors soldy ---> the number of gift wrap rolls for sprint patterns soldwe know that[tex]x+y=480[/tex] ---->[tex]x=480-y[/tex] ----> equation A[tex]4x+6y=2,340[/tex] ----> equation BSolve the system by substitutionsubstitute 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]thereforeThe number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210