SOLUTION: If 2/3 of a number is 4 more than 1/2 of the number, what is the number?

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Question 549467: If 2/3 of a number is 4 more than 1/2 of the number, what is the number?
Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
of usually means multiply, is usual means equals, so we get:
%282%2F3%29%2An=4%2B%281%2F2%29%2An
subtract %281%2F2%29%2An from both sides
%282%2F3%29%2An-%281%2F2%29%2An=4
to combine our like terms here, we have to remember back to subtracting fractions. We need a common denominator which will be 6
%284%2F6%29%2An-%283%2F6%29%2An=4
%281%2F6%29%2An=4
Now we need to divide both sides by 1/6 (which we do by multiplying by 6)
n=24