Final answer:
The student's question regarding finding a number when five-sixths of it is 30 can be solved by setting up an equation 5/6 of x = 30 and using the reciprocal method. Multiplying both sides by 6/5 gives us x = 36. Therefore, the original number is 36.
Step-by-step explanation:
The student is asking to find a number when given that five-sixths of it is equal to 30. To solve this problem, we can set up an equation where the number we're looking for is represented by a variable, for example, 'x'. The equation would be 5/6 of x = 30.
To find the value of x, we can multiply both sides of the equation by the reciprocal of 5/6, which is 6/5.
So, the steps are as follows:
Multiply both sides by the reciprocal of 5/6 to get x alone on one side of the equation:
6/5 × (5/6) × x = 6/5 × 30
Solve the right side of the equation:
x = 6 × 30 / 5
Calculate the result:
x = 36
This means that the original number we were looking for is 36.
To find the number, we can set up an equation using the information given. If 5/6 of a number is 30, we can represent this as (5/6)x = 30. To solve for x, we can multiply both sides of the equation by the reciprocal of 5/6, which is 6/5. This gives us x = (30)(6/5).
Using the distributive property, x = 36.
Therefore, the number is 36.