Direction: Solve the following problems using Polya's Four-step method and employing the different

strategies

1. Alice, Ben, and Carl collect stamps. They exchange stamps among themselves according to the

following scheme. Alice gives Ben as many stamps as Ben has and Carl as many stamps as Carl has. After

that, Ben gives Alice and Carl as many stamps as each of them has, and then Carl gives Alice and Ben as

many stamps as each has. If each finally has 64 stamps, how many stamps does Alice have at the start?

2. A baseball team won two out of their last four games. In how many different orders could they have

two wins and two losses in four games?

3. How many squares of 1 x 1 size are in an 8 x 8 checkerboard?

4. In order to encourage his son in the study of Algebra, a father promised the son PhP 8.00 for every

problem solved correctly and to fine him PhP 5.00 for each incorrect solution. After 26 problems,

neither owed any amount to the other. How many problems did the boy solved correctly?

5. The product of the ages, in years, of three teenagers is 4590. None of the teens are of the same age.

What are the ages of the teenagers?