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Question
Two brands of chocolates are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?
Solution
Number of chocolates of 1st brand in one pack = 24
Number of chocolates of 2nd brand in one pack = 15
∴ The least number of chocolates I need to purchase
= LCM of 24 and 15
= 2 × 2 × 2 × 3 × 5
= 120
∴ The number of packet of 1st brand `=120/24=5`
All the number of packet of 2nd brand `120/15=8`
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