Respuesta :
Using a system of equations, it is found that:
- The cost of one bag of windflower bulbs is of $16.4.
- The cost of one bag of daffodil bulbs is of $9.2.
What is a system of equations?
- A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: The cost of one bag of windflower bulbs.
- Variable y: The cost of one bag of daffodil bulbs.
Perry sold 12 bags of windflower bulbs and 9 bags of dafodil bulbs for a total of 279, hence:
[tex]12x + 9y = 279[/tex]
Simplifying by 3:
[tex]4x + 3y = 93[/tex]
Abhasra sold 2 bags of windflower bulbs and 6 bags of daffodil bulbs for a total of 132, hence:
[tex]2x + 6y = 132[/tex]
Simplifying by 3:
[tex]x + 3y = 44[/tex]
[tex]x = 44 - 3y[/tex]
Replacing on the first equation:
[tex]4x + 3y = 93[/tex]
[tex]4(44 - 3y) + 3y = 93[/tex]
[tex]9y = 83[/tex]
[tex]y = \frac{83}{9}[/tex]
[tex]y = 9.2[/tex]
[tex]x = 44 - 3(9.2) = 16.4[/tex]
Hence:
- The cost of one bag of windflower bulbs is of $16.4.
- The cost of one bag of daffodil bulbs is of $9.2.
To learn more about system of equations, you can take a look at https://brainly.com/question/24342899
