Practise using graphing or numerical technology to solve systems and equations, select domain-valid roots, check them and interpret the model solution.
A bakery sells boxes of cupcakes at the following prices:
- a small box, containing 1 cupcake, costs $ 4.50
- a medium box, containing 6 cupcakes, costs $ 23.50
- a large box, containing 12 cupcakes, costs $ 44.75.
In a particular week, the bakery sold 88 boxes containing a total of 383 cupcakes. The bakery collected $ 1486 from cupcake sales for the week.
The number of boxes of cupcakes sold during the week can be represented by
where x is the number of small boxes sold, y is the number of medium boxes sold, and z is the number of large boxes sold.
Write down an equation in terms of x, y, and z to represent
the number of cupcakes sold during the week.
the money collected from sales of cupcakes for the week.
Hence, use your graphic display calculator to determine the number of medium boxes that were sold during the week.