Question 498837: divide 135 into three parts in the ratio 3:5:7
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! 3x + 5x + 7x = 135
15x = 135
x = 9
3x = 27
5x = 45
7x = 63
15x = 27 + 45 + 63 = 135
the parts are:
27, 45, 63
they are in the ratio 3:5:7
divide each part by 9 and you get:
3, 5, 7
the parts of 37, 45, 63 can be expressed in the ratio of 3, 5, 7 by use of the ratio formula of:
27/3 = 45/5 = 63/7
this reads as:
27 is to 3 as 45 is to 5 as 63 is to 7.
perform the calculations and you get:
9 = 9 = 9
this confirms the ratio has been preserved using these numbers.
the sum has also been preserved, so the numbers are good.
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