Question

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. Let x equal the price of one package of cupcakes and y equal the price of one package of brownies. Write a system of equations that describes the given situation.

Answer 1

A system of equations based on the bakery purchases is created, with x representing the price of cupcakes and y representing the price of brownies, resulting in two equations: 3x + 2y = 19 and 2x + 4y = 24.

Step-by-step explanation:

We are asked to write a system of equations based on the purchases Franco and Caryl made at the bakery. Let's let x represent the price of one package of cupcakes and y represent the price of one package of brownies. The information provided leads to the following system of linear equations:

For Franco's purchase: 3x + 2y = 19 (1)

For Caryl's purchase: 2x + 4y = 24 (2)

These two equations represent the cost of cupcakes and brownies for Franco and Caryl, respectively. This system of equations can be used to determine the individual prices of a package of cupcakes and brownies.

Answer 2

3x + 2y = 19

2x + 4y = 24

Step-by-step explanation:

Franco - 3 packages of cupcakes and 2 packages of brownies for $19

Caryl - 2 packages of cupcakes and 4 packages of brownies for $24

x = price of one package of cupcakes

y = price of one package of brownies.

system of equations

Franco: 3x + 2y = 19

Caryl: 2x + 4y = 24

`\left \{ {{3x + 2y = 19} \atop {2x + 4y = 24}} \right.`