Answer:
If Mrs. Tan baked some muffins. If she gave 4 to each of her pupils, she has 6 muffins remaining. If she gave 5 muffins to each of her pupils, there would be no remainder. Therefore, Mrs. Tan baked 10 muffins.
Step-by-step explanation:
If Mrs. Tan gives 4 muffins to each of her pupils and has 6 muffins remaining, we can start by adding those 6 muffins back to the total. So, the total number of muffins would be the sum of the remaining 6 muffins and the number of muffins she gave to her pupils.
Now, if Mrs. Tan gives 5 muffins to each of her pupils and there is no remainder, it means that the total number of muffins is divisible by 5.
To find the total number of muffins, we need to find a number that satisfies both conditions. Let's do some math!
Let's assume the total number of muffins Mrs. Tan baked is "x".
If Mrs. Tan gives 4 muffins to each pupil and has 6 muffins remaining, we can write the equation: x - 6 = 4p, where "p" represents the number of pupils.
If Mrs. Tan gives 5 muffins to each pupil and there is no remainder, we can write the equation: x = 5q, where "q" represents the number of pupils.
To find the total number of muffins, we need to find a value for "x" that satisfies both equations.
By looking at the equations, we can see that "x" must be a multiple of 5 and 4, and it must be 6 more than a multiple of 4.
Let's find the smallest number that satisfies these conditions.
The smallest multiple of 5 that is 6 more than a multiple of 4 is 10. So, x = 10.
Therefore, Mrs. Tan baked 10 muffins.
