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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

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adioabiola

Answer:

C. 6 packages of pencils and 5 packages of erasers

Step-by-step 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

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