Question

1. franco and caryl went to a bakery to buy desserts. franco bought 3 packages of cupcakes and 2 packages of brownies for $19. caryl bought 2 packages of cupcakes and 4 packages of brownies for $24. write a system of equations that can be used to find the price of a package of cupcakes and a package of brownies

Explanation:

Step1: Define variables

Let \( x \) be the price of a package of cupcakes and \( y \) be the price of a package of brownies.

Step2: Form equation for Franco's purchase

Franco bought 3 packages of cupcakes and 2 packages of brownies for $19. So the equation is \( 3x + 2y = 19 \).

Step3: Form equation for Caryl's purchase

Caryl bought 2 packages of cupcakes and 4 packages of brownies for $24. So the equation is \( 2x + 4y = 24 \).

Answer:

The system of equations is \(

$$\begin{cases}3x + 2y = 19\\2x + 4y = 24\end{cases}$$

\) where \( x \) is the price of a package of cupcakes and \( y \) is the price of a package of brownies.