One sixth of a certain number and three-eighths of the same number total 13. What is the number
x/6 + 3/8x = 13
Solve for x, after multiplying equation by 24.
To find the unknown number, we can set up an equation based on the given information. Let's call the number "x."
According to the problem, one-sixth of the number can be expressed as (1/6)x, and three-eighths of the number can be expressed as (3/8)x.
We know that the total of these two fractions is equal to 13, so we can write the equation as:
(1/6)x + (3/8)x = 13
To solve this equation, we need to find a common denominator for 6 and 8, which is 24. We can then rewrite the equation as:
(4/24)x + (9/24)x = 13
Now, we can combine the x terms:
(13/24)x = 13
To isolate x, we can multiply both sides of the equation by the reciprocal of (13/24), which is (24/13). This gives us:
[(13/24)x][(24/13)] = (13)(24/13)
Simplifying, we get:
x = 24
So, the number we're looking for is 24.