Given that the total income was $150 by selling 'x' sundaes and 'y' banana splits,
[tex]\begin{gathered} \text{Total Cost}=\text{ Cost per sundae}\cdot\text{ Number of sundae}+\text{ Cost per banana splits}\cdot\text{ Number of banana splits} \\ 150=2x+3y \\ 2x+3y=150\ldots(1) \end{gathered}[/tex]Also given that the number of sundaes sold is 5 times more than the number of banana splits sold,
[tex]\begin{gathered} x=y+5y \\ x=6y\ldots(2) \end{gathered}[/tex]Substitute this value in equation (1),
[tex]\begin{gathered} 2(6y)+3y=150 \\ 12y+3y=150 \\ 15y=150 \\ y=10 \end{gathered}[/tex]The corresponding value of 'x' is calculated by using equation (2) as,
[tex]\begin{gathered} x=6(10) \\ x=60 \end{gathered}[/tex]Thus, the solution to the system of problem
