the title was to long to fit in this box so read the decription below to see the question

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 only have 1 left over. find the least possible number of muffins Mr. baker bakes.

Answer 1

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 only have 1 left over. find the least possible number of muffins Mr. baker bakes

x/4 + 3 = y

x/5 + 3 = y

x/6 + 1 = y

43/4 = 10 boxes + 3

43/5 = 8 boxes + 3

43/6 = 7 boxes + 1

I did this by inspection. Sorry I can't provide better algebraic solution... I tried 23 first, because 4 x 5 = 20, and 20 + 3 = 23. Then, I doubled it so it could work with 6 per box.