Kevin made cookies and brownies for the bake sale at school. He made 12 more cookies than brownies. He sold cookies for $1.50 and brownies for $2. He sold all of his food and made a total of $123. How many of each item did he sell? *

He made 42 cookies and 30 brownies.

Step-by-step explanation:

Let c = number of cookies

Let b = number of brownies

"He made 12 more cookies than brownies."

The number of cookies is 12 more than the number of brownies.

c = b + 12

"He sold cookies for $1.50 and brownies for $2."

The money he made from selling cookies was 1.5c.

The money he made from selling brownies was 2b.

The total sales were $123

1.5c + 2b = 123

We have a system of equations.

c = b + 12

1.5c + 2b = 123

Substitute c of the second equation with b + 12

1.5(b + 12) + 2b = 123

1.5b + 18 + 2b = 123

3.5b = 105

b = 30

c = b + 12

c = 30 + 12

c = 42

He made 42 cookies and 30 brownies.

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step-by-step explanation: