doctor thinking

Dr. Johnson needs to buy the same number of needles and syringes. The syringes are sold in packages of 6 and the needles are sold in packages of 10. What’s the smallest number of packages of syringes, and the smallest number of packages of needles, that Dr. Johnson can buy to have a matching number of each?

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Answer: 5 packages of syringes and 3 packages of needles.
Dr. Johnson needs to come up with the smallest number that is divisible by both 6 and 10.
Since 6=2×3 and 10=2×5, the smallest number that is divisible by 6 and 10 is 2x3x5=30.
Therefore, Dr. Johnson needs 30/6=5 packages of syringes, and 30/10=3 packages of needles.




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