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Question

Alex needs to buy an equal number of pencils and rulers. The shopkeeper sells pencils and rulers as shown below. What is the least number of packets that Alex should buy in total?​​

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Solution

Point to the images and say that a packet of ruler has 4 rulers and a packet of pencil has 3 rulers.
We need to find the lowest common multiple of 4 and 3 to find the least number of total packets Alex should buy.
<Write all the multiples of 3 and 4>


LCM of 3 and 4 is equal to 12.
That means he needs to buy at least 12 pencils and 12 rulers to have an equal number of each.
Packets of rulers = 12/(Number of rulers in each packet= 4) = 3
Packets of pencils = 12/(Number of pencils in each packet = 3) = 4
Total packets to be bought = 3 + 4 = 7

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