You can
put this solution on YOUR website! If three(3) times a number is greater than
one half(1/2) by forty five(45). What is the number
In the sentence:
...3 times a number is greater than 1/2 by 45.
Replace the words "a number" by x.
...3 times x is greater than 1/2 by forty five(45).
Replace the words "3 times x" by 3x:
...3x is greater than 1/2 by 45.
To make 1/2 greater by 45, add 45 to it, getting 1/2 + 45
So replace "greater than 1/2 by 45" by 1/2 + 45
...3x is 1/2 + 45...
Replace the "is" by an equal sign
...3x = 1/2 + 45
Multiply every term by 2 to clear of fractions:
2·3x = 2·1/2 + 2·45
6x = 1 + 90
6x = 91
Divide both sides by 6
x = 91/6 or 15 1/6
Check:
3 times 91/6 is 91/2 or 45 1/2
and that is indeed 45 greater than 1/2.
Edwin
