Question

1. Pencils come in packages of 10. Erasers come in packages 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?

A. 4 packages of pencils and 3 packages of erasers B. 5 packages of pencils and 4 packages of erasers C. 6 packages of pencils and 5 packages of erasers D. 12 packages of pencils and 10 packages of erasers

Answer 1

C. 6 packages of pencils and 5 packages of erasers

Explanation:

Pencil = packages of 10

Erasers = packages of 12

Find the lowest common multiple of 10 and 12

10 = 20, 30, 40, 50, 60, 70, 80

12 = 24, 36, 48, 60, 72, 84, 96

The lowest common multiple of package of pencil and eraser is 60

Packages of pencil = 60 / 10

= 6 packages

Packages of eraser = 60 / 12

= 5 packages

C. 6 packages of pencils and 5 packages of erasers