How Many Packages of Pencils and Erasers Should Phillip Buy?

What does Phillip need to purchase in order to have exactly 1 eraser per pencil?

A. 12 pencils and 10 erasers

B. 10 pencils and 12 erasers

C. 6 pencils and 5 erasers

D. 5 pencils and 6 erasers

Answer:

To have exactly one eraser per pencil, Philip needs to find the least common multiple of 12 and 10, which is 60. Hence, he needs to buy Option D: 5 packages of pencils and 6 packages of erasers.

This question is related to the mathematical concept of Least Common Multiple (LCM). In order to have exactly one eraser per pencil, Philip needs to find the least common multiple of 12 and 10, which is 60. Hence, Philip needs to buy 5 packages of pencils (5*12=60 pencils) and 6 packages of erasers (6*10=60 erasers).

Thus, Option D: 5 pencils and 6 erasers is the correct answer choice.