SOLUTION: If 2/3 of a number, decreased by 1/2 is equal to 5/6, what is the number?
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Question 120202: If 2/3 of a number, decreased by 1/2 is equal to 5/6, what is the number?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Start with the number: x. Two-thirds of the number is . Two-thirds of a number decreased by one-half is . This expression is equal to , so we can write:
The LCD of 2, 3, and 6 is 6, so:
Add to both sides:
Multiply both sides by 6:
Divide by 4:
Check:
. , answer checks.
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