Respuesta :
Answer: Hence, the equation that could be used to find the number is given by [tex]\dfrac{x}{3}+\dfrac{3x}{4}-x=1[/tex]
Step-by-step explanation:
Since we have given that
The sum of one-third of a number and three-fourths of the number exceeds that number by one.
So, the equation would be
[tex]\dfrac{x}{3}+\dfrac{3x}{4}-x=1\\\\\dfrac{4x+9x-12x}{12}=1\\\\\dfrac{13x-12x}{12}=1\\\\\dfrac{x}{12}=1\\\\x=12[/tex]
Hence, the equation that could be used to find the number is given by
[tex]\dfrac{x}{3}+\dfrac{3x}{4}-x=1[/tex]
