SOLUTION: alan has x cents. bertie has three times as much as alan. carol has 2 cents more than bertie. they have 51 cents altogether. how much does each of them have?

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Question 711181: alan has x cents. bertie has three times as much as alan. carol has 2 cents more than bertie. they have 51 cents altogether. how much does each of them have?
Answer by dfvalen0223(2) About Me  (Show Source):
You can put this solution on YOUR website!
First, we interpretate words to math language. when in a text say "one time, twice, three time, any time" they wants say that we need multiply for on, two, three, or any number.
When they say "more" they wants to say that we need add some number.
Alan x
Bertie 3x
Carol 3x%2B2
then, they have in total 51 cents, so the add of the three is 51:
Money_Alan+%2B+Money_Bertie+%2B+Money_Carol+=+51
so:
%28+x%29+%2B%28+3x%29+%2B%28+3x%2B2%29+=+51+
Now, we group like terms, and clears x:
%28+x+%2B+3x+%2B+3x+%29%2B+2+-2+=+51+-2
+++++++++++7x+%2B+0+++++=+49
++++++++++++7x+%2F7+++++=+49%2F7
++++++++++++x+++++++++=+7
Then, x+=+7:
=======================================
Alan x
Bertie 3x
Carol 3x%2B2
=======================================
Alan x=+7 cents
Bertie 3x+=+3%287%29+=+21 cents
Carol 3x%2B2+=+3%287%29%2B2+=+25 cents
=======================================

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