Pencils come in packages of 10 Erasers come in packages of 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? 4 packages of pencils and 3 packages of erasers 5 packages of pencils and 4 packages of erasers 6 packages of pencils and 5 packages of erasers 12 packages of pencils and 10 packages of erasers

Solution

Dear student

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As per question, smallest number of packets of erasers and pencils in order to have 1 pencil per eraser is LCM of number of packets of pencil and number of packets of erasers.

I.e LCM of 10 and 12 which is 60

Therefore number of packets of pencil = 60/10 = 6

Number of packets of erasers = 60/12 = 5

Thank you