 |
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 |
| | 
