Q) Mrs. Gupta arranged some snacks for her child’s birthday party. After the guest left she had some food left over. She did not want to waste food and so she contacted a local NGO. She gave 60 pieces of pastries,168 pieces of cookies, and 330 chocolate bars to the team. Now the NGO workers want to make the maximum number of packets with those foods so that no food is left for distributing to the beggars at the roadside. Find the greatest number of packets that they can make.
Ans: [Extra Notes: Let’s first understand the question.Here, in this question, some hint words are given. If you read it carefully, you would find how to attempt. We need to find out “Greatest number of packets” to cater greatest number of beggars. To achieve this, we need to find HCF so that maximum identical packets can be made.]
Step 1: Let’s start from finding HCF of the 3 numbers:
60 = 2 x 2 × 3 × 5
168 = 2 x 2 x 2 x 3 × 7
330 = 2 × 3 × 5 × 11
HCF = 6
Hence, 6 packets will be made from the given food items.
Step 2: Now, the number of pastries per pack = 
= 10
Similarly, the number of cookies per pack = 
= 28
And the number of chocolate bars per pack = 
= 55
Therefore, total 6 packets can be made. Each having 10 pastries, 28 cookies and 55 chocolate bars.
Please press the “Heart” button if you like the solution.