Respuesta :
Answer: The system of equations are
x + y = 10
3.75x + 2.5y = 35
Step-by-step explanation:
Let x represent the number of cupcakes that Camila bought.
Let y represent the number of brownies that Camila bought.
She bought a total of 10 cupcakes and brownies altogether. This would be expressed as
x + y = 10
Camila and her children went into a bakery and she bought $35 worth of cupcakes and brownies. Each cupcake costs $3.75 and each brownie costs $2.50. This would be expressed as
3.75x + 2.5y = 35
The system of the equation that could be used to determine the number of cupcakes and the number of brownies that Camila bought is (x + y = 10) and (3.75x + 2.5y = 35).
Given :
- Camila and her children went into a bakery and she bought $35 worth of cupcakes and brownies.
- Each cupcake costs $3.75 and each brownie costs $2.50. She bought a total of 10 cupcakes and brownies altogether.
The following steps can be used in order to determine the system of equations:
Step 1 - Let the total number of cupcakes be 'x' and the total number of brownies be 'y'.
Step 2 - The linear equation that represents the total number of cupcakes and brownies is:
x + y = 10
x = 10 - y --- (1)
Step 3 - The linear equation that represents the total amount spent on brownies and cupcakes is:
3.75x + 2.5y = 35 --- (2)
Step 4 - Now, substitute the value of 'x' in the equation (2).
3.75(10 - y) + 2.5y = 35
Step 5 - Simplify the above expression.
37.5 - 3.75y + 2.5y = 35
2.5 = 1.25y
y = 2
Step 6 - Substitute the value of 'y' in equation (1).
x = 10 - 2
x = 8
For more information, refer to the link given below:
https://brainly.com/question/2564656
