Mrs. Patterson's bakery sells fruit pastries in packages of 15, while chocolate pastries come in packages of 12. What is the smallest number of each type of package you need to buy to get the same number of both type of pastries? Answer: package (s) of fruits, package (s) of chocolate

Answer: 4, 5

Step-by-step explanation:

To answer this, first find the lowest common multiple of 12 and 15.

Simplifying 12 and 15 into their factors, we get (2 * 2 * 3) and (5 * 3).

The lowest common multiple is 3.

You can then multiply each package's value by the other's factors, excluding 3. For example, we could multiply 12 by 5 and 15 by 2 * 2.

Both are equal to 60, which is the lowest number of each type of pastry you can buy in equal amounts.

60 / 15 = 4, the amount of packages of fruits needed

60 / 12 = 5, the amount of packages of chocolates needed