Question 79346: Mr. Thibodeaux is teaching probability to his class of 48 students. He has 12 decks of cards and 18 pairs of six-sided dice. He wants to divide his class into equal-sized groups. He plans to give each group the same number of decks of cards and the same number of pairs of dice. He also wants to use all of his manipulatives and to have no more than 20 students in each group. How many equal-sized groups are possible? Explain results please.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The greatest common divisor of 48,12, and 18 is 6
----------
If 6 groups; 8 students in a group ; 2 card decks in each grp ; 3 pair of dice
If 3 groups; 16 students in a grp ; 4 card decks in each grp ; 2 pair of dice
If 2 groups; 24 students in a grp ; 6 card decks in each grp ; 9 pair of dice
============
Note that 2 and 3 are factors of six, the gcd of 48,12, and 18.
Cheers,
Stan H.
|
|
|
