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Question
Three brands A, B and C of biscuits are available in packets of 12, 15 and 21 biscuits respectively. If a shopkeepeer wants to buy an equal number of biscuits, of each brand, what is the minimum number of packets of each brand, he should buy?
Solution
A shopkeeper has three brands A, B and C of biscuits are available in packets of 12, 15 and 21 biscuits respectively.
Also, a shopkeeper wants to buy equal number of biscuits of each brand for that we need to find the LCM of 12, 15 and 21.
2 |
12, 15, 21 |
2 |
6, 15, 21 |
3 |
3, 15, 21 |
5 |
1, 5, 7 |
7 |
1, 1, 7 |
1, 1, 1 |
∴ The LCM of 12, 15 and 21 = 2 × 2 × 3 × 5 × 7 = 420 Thus, the required number of packets of 420.
Brand A = `420/12` = 35
Brand B = `420/15` = 28
Brand C = `420/21` = 20
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