SOLUTION: Vivienne made cupcakes to share with her friends and teachers at school. She gives half of her cupcakes to her friends. Then, she gives 2 cupcakes to her teacher. Finally, she give

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Question 1066909: Vivienne made cupcakes to share with her friends and teachers at school. She gives half of her cupcakes to her friends. Then, she gives 2 cupcakes to her teacher. Finally, she gives 25% of the remaining cupcakes to her principal. She now has 12 cupcakes left. How many cupcakes did she bring to school?
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Vivienne made cupcakes to share with her friends and teachers at school.
She gives half of her cupcakes to her friends.
Then, she gives 2 cupcakes to her teacher.
Finally, she gives 25% of the remaining cupcakes to her principal.
She now has 12 cupcakes left. How many cupcakes did she bring to school?
:
let x = original number of cupcakes
:
x = .5x + 2 + .25(x - (.5x+2)) + 12
x = .5x + 2 + .25(x - .5x - 2) + 12
x = .5x + 2 + .25(.5x - 2) + 12
x = .5x + 2 + .125x - .5 + 12
x = .5x + .125x + 2 - .5 + 12
x = .625x + 13.5
x - .625x = 13.25
.375x = 13.25
x = 36 cupcakes she brought to school

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
Vivienne made cupcakes to share with her friends and teachers at school. She gives half of her cupcakes to her friends. Then, she gives 2 cupcakes to her teacher. Finally, she gives 25% of the remaining cupcakes to her principal. She now has 12 cupcakes left. How many cupcakes did she bring to school?

Let number of cupcakes she made, be C
After giving to friends, she had left
After giving 2 to the teacher, she had: , or
After giving 25% of remainder to principal, she had: left
We then get:
.75C - 3 = 24 ------- Multiplying by LCD, 2
.75C = 24 + 3
.75C = 27
C, or number of cupcakes she made was: