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 other
Found 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.