How many sweets did the kind old gentleman have to buy?

A kind old gentleman decided to give 12 sweets to each of the girls in his town and 8 sweets to each of the boys.Of the 612 children in his town, only half the girls and three quarters of the boys took the sweets.How many sweets did the kind old gentleman have to buy?


Answer:  3,672.
The actual number of girls and boys doesn’t actually matter!

If all of the children were girls then half of them (306) would be given 12 sweets:

306 x 12 = 3672

If all of the children were boys then three quarters of them (459) would be given 8 sweets:

459 x 8 = 3672

If there were 512 girls (so 256 would get 12 sweets = 3072) and 100 boys (so 75 would get 8 sweets = 600):

256 x 12 + 75 x 8 = 3672

We can change the numbers of girls and boys, but it doesn’t change the answer. The reason for this lies in the fact that 1/2 girls x 12 sweets = 3/4 boys x 8 sweets (both are 6).

Puzzles

Prashant Pandya View All →

I am a full-stack engineer whose passion lies in building great products while enabling others to perform their roles more effectively. I have architect and built horizontally scalable back-ends; distributed RESTful API services; and web-based front-ends with modern, highly interactive Ajax UIs.

I deal with:

Techniques
Web applications
Distributed architecture
Parsers, compilers
Mobile First, Responsive design
Test-driven development

Using technologies :

+ASP.NET,C#,VB.NET,C++,MS SQL,ADO.NET,WCF ,MVC,Web API
+Java, JAX-RS, JavaScript, Node.js
+Ajax, JSON, HTML5, CSS3
+Mac OS X, Linux, Windows
+Android,iOS
+PhoneGap

My Qualities ,I believe :

Self-directed and passionate
Meticulous yet pragmatic
Leadership skills, integrity

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