At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
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
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.