Question

Mr baker baked some muffins. If he packs them in boxes of 4, he will have 3 left over. If he packs them in boxes of 5 he will also have 3 left over. If he packs them in boxes of 6 he will have only 1 left over find the least possible number of muffins mr Baker baked

Answer 1

So you are looking for a number which
1. when divided by 4 leaves a remainder of 3
2. when divided by 5 leaves a remainder of 3
3. when divided by 6 leaves a remainder of 1

Since we are dealing with relatively small numbers we can just list the sequences of numbers for each case:
1: 7 11 15 19 23 27 31 35 39 <b>43</b> 47 51 55 59 63 67 71
2: 8 13 18 23 28 33 38 <b>43</b> 48 53 58 63 68 73
3: 7 13 19 25 31 37 <b>43</b> 49 55 61 67 73 79
well ....