Problem Solving Strategy ~ Make a Table ~
 Solution

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.

B) How many different products can there be?

 Dice Pair x Dice Pair x Dice Pair x Dice Pair x Dice Pair