Question

Let X represent number of sundaes sold and y represent the number of banana splits sold.Sundaes are sold for $2 each and banana splits for $3 each. They made a total of $150. Equation____________The number of sundaes sold is 5 times more than the number of banana splits sold. Equation________Solve the system of problem questions by substitution

Answer 1

Given that the total income was $150 by selling 'x' sundaes and 'y' banana splits,

Also given that the number of sundaes sold is 5 times more than the number of banana splits sold,

`\begin{gathered} x=y+5y \\ x=6y\ldots(2) \end{gathered}`

Substitute this value in equation (1),

`\begin{gathered} 2(6y)+3y=150 \\ 12y+3y=150 \\ 15y=150 \\ y=10 \end{gathered}`

The corresponding value of 'x' is calculated by using equation (2) as,

`\begin{gathered} x=6(10) \\ x=60 \end{gathered}`

Thus, the solution to the system of problem