Question

simon is making wreaths to sell. He has 60 bows, 36 silk roses, and 48 silk carnations. He wants to put the same number of items on each wreath. All the items on a wreath will be the same type. How many items can Simon put on each wreath?

Answer 1

If he wants the same amount of each item on the wreaths we need to find the factors of each to find the highest amount of wreaths he can make.
60=2×2×3×5=(2×2×3)×5
36=2×2×3×3=(2×2×3)×3
48=2×2×2×2×3=(2×2×3)×2×2
so 2×2×3 is in each which is equal to 12 so he can make 12 wreaths with remaining factors being the amount of each item.

12 wreaths
5 bows on each
3 silk roses each
4 silk carnations each