SOLUTION: One hundred twenty more than two-fifths of a number doubles the number. Find two thirds of the number

Algebra ->  Human-and-algebraic-language -> SOLUTION: One hundred twenty more than two-fifths of a number doubles the number. Find two thirds of the number      Log On


   

Question 926350: One hundred twenty more than two-fifths of a number doubles the number.
Find two thirds of the number
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let the number be x
two-fifths of a number x:%282%2F5%29x
120 more than %282%2F5%29x doubles the number x
%282%2F5%29x%2B120=2x...solve for x
120=2x-%282x%2F5%29
120=10x%2F5-2x%2F5
120=8x%2F5
120%2A5=8x
600%2F8=x
75=x

Find two thirds of the number:%282%2F3%29x=%282%2F3%2975=150%2F3=50