SOLUTION: One third of a number is 5 less than half of the same number. what is the number? I also need to know how to check this and also thank you!
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Question 290857: One third of a number is 5 less than half of the same number. what is the number? I also need to know how to check this and also thank you! Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Let x = " number"
:
Write an equation for what it says:
"One third of a number is 5 less than half of the same number." x = x - 5
Get rid of the denominators, multiply by 6, results:
2x = 3x - 30
2x - 3x = -30
-1x = -30
Multiply both sides by -1
x = 30 is the number
:
:
Check it in the given statement:
"One third of a number is 5 less than half of the same number. what is the number?" (30) = (30) - 5
10 = 15 - 5; confirms our solutions
