Question
the sum eleven and three-fourths of a number is less than 112
Answers
GPT 3.5
Let's say the number is represented by "x".
The sum of 11 and three-fourths of a number can be written as:
11 + (3/4)x
We are given that this sum is less than 112, so we can write it as an inequality:
11 + (3/4)x < 112
To solve for x, we can start by subtracting 11 from both sides of the inequality:
(3/4)x < 112 - 11
(3/4)x < 101
Next, we need to isolate x, so we can divide both sides of the inequality by (3/4):
x < (101) / (3/4)
To divide by a fraction, we can multiply by its reciprocal:
x < (101) * (4/3)
Simplifying:
x < (404) / 3
Therefore, the number "x" is less than 404/3.
The sum of 11 and three-fourths of a number can be written as:
11 + (3/4)x
We are given that this sum is less than 112, so we can write it as an inequality:
11 + (3/4)x < 112
To solve for x, we can start by subtracting 11 from both sides of the inequality:
(3/4)x < 112 - 11
(3/4)x < 101
Next, we need to isolate x, so we can divide both sides of the inequality by (3/4):
x < (101) / (3/4)
To divide by a fraction, we can multiply by its reciprocal:
x < (101) * (4/3)
Simplifying:
x < (404) / 3
Therefore, the number "x" is less than 404/3.