Question

Almonds are sold in 8 ounce and 20 ounce what is the least number of ounces you can buy of each package to have equal amounts of each package size

Answer 1

40 ounces

Explanation:

This problem is basically asking for the LCM(least common multiple) of 8 and 20. The number satisfying the problem is the smallest number that both 8 and 20 can divide into evenly.

The prime factorization of 8 is: 2 x 2 x 2

The prime factorization of 20 is: 2 x 2 x 5

Both factorizations share a "2 x 2" and 8 has a unique 2 while 20 has a unique 5. Therefore, the LCM would be 2 x 2 x 2 x 5, which is 40.