SOLUTION: four-fifths of a number is 10 more than two-third of the number

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Question 637934: four-fifths of a number is 10 more than two-third of the number
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let's number be x
four-fifths of a number is %284%2F5%29x
and it is 10 more than two-third of the number %282%2F3%29x
so, you have
%284%2F5%29x=%282%2F3%29x%2B10.....both sides multiply by common denominator which is 15
15%284%2F5%29x=15%282%2F3%29x%2B10%2A15
cross%2815%293%284%2Fcross%285%291%29x=cross%2815%295%282%2Fcross%283%291%29x%2B150
3%2A4x=5%2A2x%2B150
12x=10x%2B150
2x=150
x=75