# SOLUTION: divide 174 into two parts so that one part is 45% of the other

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 Question 635784: divide 174 into two parts so that one part is 45% of the otherFound 3 solutions by MathLover1, ewatrrr, DrBeeee:Answer by MathLover1(6625)   (Show Source): You can put this solution on YOUR website!let' parts be and given: part is % or of so, we have .....plug in and find now find .........plug in check: Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi, divide 174 into two parts so that one part is 45% of the other's length x + .45x = 174 x(1 + .45) = 174 x = 174/1.45 = 120 Two parts: 120 and 54 ```Answer by DrBeeee(378)   (Show Source): You can put this solution on YOUR website!Let a = one part of the sum and b = the other part Then we have a + b = 174 (1) The statement that one part is 45% of the other can be expressed as a = 45% of b or a = 0.45*b (2) Now place (2) into (1) and obtain 0.45*b + b = 174 or 1.45*b = 174 which reduces, by dividing both sides of the equation by 1.45, to b = 174/1.45 or b = 120 (sort of surprising that we get an integer answer!) Now use (2) to obtain a a = 0.45*b a = 0.45*120 a = 54 Are we correct? Let's see Does (a+b=174)? Does (54+120=174)? Does(174=174)? YES The answer to the question is that one part is 54 and the other part is 120.