Question
2/5 of a number of pupils in a class is 4 greater than three-quarter of the number in the class. Find the number of pupils in the class
Answers
Answered by
GPT 3.5
Let's say the number of pupils in the class is x.
According to the information given, 2/5 of x is 4 greater than 3/4 of x.
This can be written as (2/5)x = (3/4)x + 4.
To eliminate the fractions, we can multiply both sides of the equation by 20 (the least common denominator).
20 * (2/5)x = 20 * ((3/4)x + 4).
Simplifying, we get:
8x = 15x + 80.
Subtracting 15x from both sides, we get:
8x - 15x = 80.
-7x = 80.
Dividing both sides by -7, we have:
x = -80/7.
The number of pupils in the class is -80/7, which is approximately -11.43. However, since the number of pupils cannot be negative or fractional, we can conclude that there was an error in the original equation or information given. Please double-check the information and revise the question if necessary.
According to the information given, 2/5 of x is 4 greater than 3/4 of x.
This can be written as (2/5)x = (3/4)x + 4.
To eliminate the fractions, we can multiply both sides of the equation by 20 (the least common denominator).
20 * (2/5)x = 20 * ((3/4)x + 4).
Simplifying, we get:
8x = 15x + 80.
Subtracting 15x from both sides, we get:
8x - 15x = 80.
-7x = 80.
Dividing both sides by -7, we have:
x = -80/7.
The number of pupils in the class is -80/7, which is approximately -11.43. However, since the number of pupils cannot be negative or fractional, we can conclude that there was an error in the original equation or information given. Please double-check the information and revise the question if necessary.