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?

Answer 1

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