1. Mr Green has a small farm near Steinbach, Manitoba. He has
chickens and cows on his farm. If there are 32 legs altogether, what is the greatest
number of cows possible?
Always maintain a constant total of 32 legs in total.
If all the legs belong to cows only, then 8 cows (32÷4) are possible.
But there must be at least 1 chicken on the farm.
Exchange 1 cow for 2 chickens.
Chickens
Cows
Legs
0
8
32
2
7
32
There are at most 7 cows.
2. List the different combinations of 5-¢ coins and 10-¢ coins that make 55¢.
5-¢ coins
11
9
7
5
3
1
10-¢ coins
0
1
2
3
4
5
As there must be at least 1 coin of each, only 5 different combinations exist.
3. Each time 2 dice are rolled, 2 numbers land flacing up.
A) How many different combinations of numbers can there be?
Hint: Only count different sets of numbers. Example: 1, 3 and 3, 1 are the same.
