Question 849996: Separate $216 into two parts so that one part is three times the other? Please and thank you so much for your time.
Answer by josh_jordan(263)   (Show Source):
You can put this solution on YOUR website! In order to solve this, we need to convert this problem into an equation, so let's see what we know.
1. We know the total amount of money is $216
2. We know that if we add one amount to 3 times that amount, we will get $216
3. We don't know any of the breakdown amounts, so we can represent one of the amounts as x
4. The other amount can be represented by 3x, because we need to multiply a certain amount by 3(since one part is three times the other), and when we add it to the other amount (x), we will get $216.
Now we can set up an equation:
x + 3x = 216
We can add x and 3x, giving us
4x = 216
Dividing both sides of the equation by 4, will give us x:
x = 216/4 ----->
x = 54
Now we have one of our parts, $54. To find our other part, we multiply $54 by 3, since one part is three times the other:
54 x 3 = 162
Therefore, one part is $54 and the other part is $162
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