Question

A shopkeeper sells balloons in the pack of 40, Candles in a pack of 16 and Candies in pack of 30. Justina wants to celebrate her son's birthday for which these things are required. What will be the least total number of all these things that Justina should buy so that there will be one balloon for each candle and each candy?

• A. $240$
• B. $40$
• C. $120$
• D. $16$

Answer 1

The correct option is A $240$

To find least quantity of candles, balloon, and candies, we will find the LCM of these quantities.


So, LCM of $40,16,30$ will be $=2\times 2\times 2\times 2\times 3\times 5=240$

Least number of these quantities are $240$.

Now, number of packets of Balloons will be $=\frac{240}{40}=6$

And, number of packets of Candies will be $=\frac{240}{30}=8$