Beach Day by Rodger Bliss
September 2022
S M T W T F S
 123
45678910
11121314151617
18192021222324
252627282930  

Candy Bars

A rich old lady decided to give 12 candy bars to each of the girls in her town and 8 candy bars to each of the boys. Of the 612 children in her town, only half the girls and three quarters of the boys were allowed to take the candy bars. How many candy bars did the rich old lady have to buy?

 

Submit your Guess

 

 

 

You can use these HTML tags

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

4 guesses to Candy Bars


    Warning: Use of undefined constant bfa_comments - assumed 'bfa_comments' (this will throw an Error in a future version of PHP) in /home/customer/www/riddledude.com/public_html/wp-content/themes/atahualpa/comments.php on line 132
  • Dude

    No, but keep trying.

  • Roolstar

    Easy way:
    Take any distribution of kids
    600 girls and 12 boys => 150*12 + 9*8 = 3672 candy bars
    608 girls and 4 boys => 154*12 + 3*8 = 3672 candy bars
    600 Boys and 12 Girls => 450*8 + 6*12 = 3672

    Global Method:
    8 candy bars for 3/4 of the boys means 6 candy bars for all boys
    12 candy bars for 1/2 of the girls means 6 candy bars for all girls
    => 6 candy bars for all children => 612*6 = 3672

  • Dude

    3,672 is correct!

    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 candy bars:

    306 x 12 = 3672

    If all of the children were boys then three quarters of them (459) would be given 8 candy bars:459 x 8 = 3672

    If there were 512 girls (so 256 would get 12 candy bars = 3072) and 100 boys (so 75 would get 8 candy bars = 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 candy bars = 3/4 boys x 8 candy bars (both are 6).

    Great job, you are today’s winner.