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.

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Answer:

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

[tex]\left \{ {{3x + 2y = 19} \atop {2x + 4y = 24}} \right.[/tex]

The system of equations that describe the situation is 3x + 2y = $19

and 2x + 4y = $24.

What are simultaneous equations?

Simultaneous equations are system of equations that have to be solved together in order to determine the required values.

The methods that can be used to solve simultaneous equations are:

  • The graph method
  • The elimination method
  • The substitution method

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552