SOLUTION: Pudge has three times as many apples as Ace, and Ace has twice as many as Christi. How many apples does each have if pudge has 12 more than both Ace and Christi together?

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Question 1141114: Pudge has three times as many apples as Ace, and Ace has twice as many as Christi. How many apples does each have if pudge has 12 more than both Ace and Christi together?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Decide which person's amount to assign a variable. Follow the description and make expressions for each person. Form the necessary equation.


Pudge has three times as many apples as Ace, and Ace has twice as many as Christi. 
Pudge              6c
Ace                2c
Christi            c


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pudge has 12 more than both Ace and Christi together.
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highlight%282c%2Bc%2B12=6c%29

Solve that for c and use it to find the quantities of Pudge and Ace.