**1. How Many Hugs?
**Figure out a formula (or algorithm) that will calculate the following problem: Your mom gives you on hug on February 1

^{st}, 2 hugs on the 2

^{nd}, 3 hugs on the 3

^{rd}and so on.

**How many hugs will you have received in all of the month of February?**

**2. How Many Kisses?
**You want to give your mom one kiss on February 1

^{st}, 2 kisses on the 2

^{nd}, 4 kisses on the 3

^{rd}, 8 kisses on the 4th, and keep doubling for the month of February.

**How many kisses will you need to give her?**

**3**. **How many ****Valentine’s are exchanged in a class of 20 if each student gives Valentine’s to everyone in the class? **

**4**. The florist sells 150 bouquets of flowers. Each bouquet has a dozen roses. Five bouquets were returned because the flowers had ants. **How many flowers were sold in all? **

**5.** February 14^{th} is Valentine’s day. **How many ways can you add up two numbers to make 14? ** (What about if you use negative numbers or fractions?)

Post your answers before next Saturday, Feb. 19.

The correct answers will be posted on Saturday, Feb. 19.

Anyone else up for the final challenge?

1. 406 2. 268435455 3. 190 4. 1740 5. without negative numbers or fractions, my answer is 7 DIFFERENT ways because: 1+13, 2+12, 3+11, 4+10, 5+9, 6+8, and 7+7!

I think those are right.

1. You just do 1+2+3…+28, which is 28(29)/2 (The answer is 406).

2.Those are all powers of 2 (including 2 to the 0), and the powers of two added up are the next power of 2 minus 1. The sum of kisses would be 2 to the 28 minus 1, which is 268435455.

3. That’s 19+18…+1, which is 19(20)/2 (190 is the answer).

4. 150*12 – 5*12, which is 1740.

5. There are infinitely many ways.