The sum of one-third a number, one-sixth of the number, and one-ninth of the number is twenty two. Can someone help?
well, sure.
1/3 + 1/6 + 1/9 = 11/18
so, 11/18 x = 22
now just solve for x.
x=36
Yes, I can help you with that. Let's solve the problem step-by-step.
Let's assume the number is "x".
According to the problem, the sum of one-third of the number, one-sixth of the number, and one-ninth of the number is twenty-two.
So, we can write the equation as:
(1/3)x + (1/6)x + (1/9)x = 22
To make it easier to calculate, let's find a common denominator for the fractions. The common denominator for 3, 6, and 9 is 18. Now, let's multiply each fraction by the appropriate factor to get the same denominator:
(6/18)x + (3/18)x + (2/18)x = 22
Now, combine the fractions:
(11/18)x = 22
To isolate x, let's multiply both sides of the equation by the reciprocal of (11/18), which is (18/11):
[(11/18)x][(18/11)] = 22[(18/11)]
Simplify:
x = (22 * 18) / 11
Calculate the numerator:
x = 396 / 11
Divide:
x = 36
Therefore, the number is 36.
Of course, I can help you with that! To solve this problem, let's first represent the number as 'x'. Then we can set up the equation to find the value of 'x'.
The sum of one-third of 'x', one-sixth of 'x', and one-ninth of 'x' is equal to twenty-two. So we can write:
(1/3)x + (1/6)x + (1/9)x = 22
To simplify the equation, we need to find a common denominator for the fractions. The least common multiple of 3, 6, and 9 is 18. Therefore, we can rewrite the equation as:
(6/18)x + (3/18)x + (2/18)x = 22
Now that the fractions have the same denominator, we can add them together:
(11/18)x = 22
To find the value of 'x', we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of (11/18), which is (18/11):
((11/18)x) * (18/11) = 22 * (18/11)
The (18/11) term cancels out on the left side, and on the right side, we can simplify the multiplication:
x = (22 * 18) / 11
Now let's calculate the value of 'x':
x = 396 / 11
Dividing 396 by 11, we find that:
x ≈ 36
Therefore, the number is approximately 36.