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. Write a system of equations that could be used to determine the number of cupcakes and the number of brownies that Camila bought. Define the variables that you use to write the system.

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 :

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

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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

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