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

$$\begin{gathered} DearStudent, \\ NumberofbiscuitsinapacketofbrandA=12 \\ NumberofbiscuitsinapacketofbrandB=15 \\ NumberofbiscuitsinapacketofbrandC=21 \\ FindtheLCMof12,15and21 \\ 12=2\times 2\times 3 \\ 15=3\times 5 \\ 21=3\times 7 \\ Therefore,LCM=2\times 2\times 3\times 5\times 7=420 \\ So,numberofbiscuitsofeachbrandshouldbe420. \\ PacketofBrandA=\frac{420}{12}=35 \\ PacketofBrandB=\frac{420}{15}=28 \\ PacketofBrandC=\frac{420}{21}=20 \\ Regards \end{gathered}$$