SOLUTION: Two-thirds of a number is the same as 15 more than one-fourth of the number. whats the number?

Question 831325: Two-thirds of a number is the same as 15 more than one-fourth of the number. whats the number?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
2/3 x = 1/4 x + 15
Let's change the denominators to a common one, 12
8/12 x = 3/12 x + 15
Subtract 3/12 x from each side
5/12 x = 15
Multiply by 12 to get rid of the pesky fraction
5x = 15 * 12, or 180
Divide each side by 5
x = 180/5, or 36
.
Let's put it back into the original question.
"Two-thirds of 36 (which would be 24) is the same as 15 more than one-fourth of 36 (which would be 9)."
Is 24 the same as 15 + 9? Yes.
Success!
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