SOLUTION: I am weak at math... if 126 is 40% of something what is 60% of the whole? x*40%=124

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: I am weak at math... if 126 is 40% of something what is 60% of the whole? x*40%=124      Log On


   



Question 764016: I am weak at math... if 126 is 40% of something what is 60% of the whole? x*40%=124
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Setup the proportion. Percent means number of parts in 100 parts. You want to find what is the whole part.
40%2F100=126%2FW
W is the whole, 126 is the part of the whole. As written, the proportion shows the unknown W in a denominator. The reciprocals of the fractions also equal, so...
W%2F126=100%2F40
Multiply BOTH sides of the equation by 126. You still have equality and you will have solved for W.

W=126%2A100%2F40
But you then wanted 60% of W. Continue like this:

You want finally, %2860%2F100%29%2AW
=highlight%28%2860%2F100%29%2A%28126%2A100%2F40%29%29

You want to simplify from that.
60%2A126%2F40
6%2A126%2F4
3%2A126%2F2
3%2A63
highlight%28189%29