The difference between one half of a number and one fifth of it is 561. Find the number.
0.3n = 561
3n = 5610
n = 1870
Well, let's call the number "X". According to the information given, one half of the number is X/2, and one fifth of the number would be X/5.
Now, the difference between these two values is said to be 561. So, we can set up the equation X/2 - X/5 = 561 and solve for X.
To simplify the equation, we need to find a common denominator, which is 10. Multiply the first fraction by 5/5 and the second fraction by 2/2:
(5X/10) - (2X/10) = 561
This simplifies to:
3X/10 = 561
To isolate X, we can multiply both sides of the equation by 10/3:
(10/3) * (3X/10) = (561) * (10/3)
Canceling out like terms, we get:
X = 1870
So, the number is 1870. Keep in mind, though, that it might not be as funny as a clown, but it's the correct answer.
To find the number, we need to set up an equation based on the given information.
Let's assume the number is "x."
According to the problem, the difference between one-half of the number and one-fifth of it is 561.
One-half of the number is (1/2) * x = x/2.
One-fifth of the number is (1/5) * x = x/5.
So, we can set up the equation: x/2 - x/5 = 561.
To solve the equation, we need to find a common denominator for the fractions, which is 10.
Multiplying the equation by 10, we get: 10(x/2) - 10(x/5) = 10 * 561.
Simplifying, we get: 5x - 2x = 5610.
Combining like terms, we get: 3x = 5610.
Dividing both sides by 3, we get: x = 1870.
Therefore, the number is 1870.
To find the number, we'll set up an equation based on the information given. Let's assume the number is represented by "x".
According to the problem, the difference between one half of the number and one fifth of it is 561. This can be written as:
(1/2)x - (1/5)x = 561
To simplify the equation, we need to find a common denominator. In this case, the least common denominator of 2 and 5 is 10. So, we can rewrite the equation as:
(5/10)x - (2/10)x = 561
Simplifying the equation further:
(3/10)x = 561
Now, to solve for x, we'll isolate it by multiplying both sides of the equation by the reciprocal of (3/10), which is (10/3):
x = 561 * (10/3)
Performing the calculation:
x = 1870
Therefore, the number is 1870.