Answer:
x = 1/12
Step-by-step explanation:
x = a number
1/3x = one-third of a number
3/4x = three-fourths of the number
The sum of one-third of a number and three-fourths of the number exceeds that number by one
1/3x + 3/4x = x + 1
Convert the fractions so they have the same denominator.
Use a common factor - 12.
1/3x + 3/4x
4/4(1/3)x + 3/3(3/4)x = 4/12 + 9/12 = 13/12
13/12x = x + 1
Remove 1 from both sides to get x on it's own.
12/12 = 1
13/12 - 12/12 = x + 1 - 1
1/12 = x
