Question 290857
Let x = " number"
:
Write an equation for what it says:
"One third of a number is 5 less than half of the same number."
{{{1/3}}}x = {{{1/2}}}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?"
{{{1/3}}}(30) = {{{1/2}}}(30) - 5
10 = 15 - 5; confirms our solutions