Question

Pencils come in packages of 10 . Erasers come in package of 12 . Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil . How many packages of pencils and erasers should Phillip buy ?

Answer 1

Answer: 60

Step-by-step explanation:

From the question, we are informed that pencils come in packages of 10 while erasers come in package of 12 .

We are further told that Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil, this simply means that we have to calculate the lowest common multiple for 10 and 12.

Multiples of 10 = 10, 20, 30, 40, 50, 60,

Multiples of 12 = 12, 24, 36, 48, 60, 72

Therefore, the packages of pencils and erasers that Phillip should buy will be 60