Blog Assignment #16- Use your brain

Today's Blog assignment will show in the Schoolloop gradebook as 5 pts.  For every problem you correctly complete (1-11) you will receive a point.  Problem #12 is worth 9 points and Problem #13 is worth 20 points.  You may collaborate with others to solve the problems.  If you do not do this assignment then you will get a 0 (zero).  If you do this assignment correctly then you could earn as much as 40 points which would be 35 pts extra credit.

Number each answer that you do in your blog post.  Fully explain your answers when necessary.

1.)  Using a tap, a three gallon container and a five gallon container, can you measure exactly 4 gallons, you may empty the containers down the drain?  Explain why or why not.  You can't guess or estimate.

2.)  Jack has three daughters and each has one brother. How many children does Jack have?

3.)  Three teachers were discussing how long they had been teaching.
Adam and Betty had been teaching for a total of 36 years.
Charleen and Betty had been teaching for a total of 22 years.
Charleen and Adam had been teaching for a total of 28 years.

How long had each been teaching?

4.)  At dawn on Monday a small gecko fell into a bucket that was 12 inches deep.
During the day it climbed up 3 inches, however, during the night it fell back 2 inches.

On what day did the small gecko finally manage to climb out of the bucket?

5.)  Which is larger, the number of seconds in a week or the number of minutes in a year?

6.)  If you were to spell out the numbers in full starting with one, (One, Two, Three, etc), how far would you have to go until you found the letter 'A'?

7.)  Last week I spent half of my money on a new jacket and then I spent half of that amount on some new trousers. I was left with $24.50. How much did I spend?

8.)  If I give you seven Fuji apples, you will then have five times as many as I would then have, however, if you give me seven Fuji apples, we will then both have the same number of Fuji apples. How many Fuji apples do I currently have?

9.)  An fire ant has six legs, a black spider has eight legs and a field mouse has four legs.  In my backyard zoo, I recently counted 612 legs which came from an equal number of each of these animals.

Can you identify how many animals there are in my zoo?

10.)  What would be the number you get if you divide 400 by 1/2 and add 7?

11.)  Which number is larger, the number of seconds in a day or the number hours in 10 years? By how much?

12.)  Go here.  It's the extra credit problem on the left side of the webpage.  Worth 9 points.

13.)  Worth 20 points. 
(I have a worksheet to help solve this one.)

Goal: Determine the flight time, first name, light and teacher for each person using only the clues  given. Below are all categories and their corresponding options used in this puzzle (shown in no particular order). You will want to take some time to familiarize yourself with each option and the category it belongs to before you begin your puzzle.

Flight Times 8:00am 12 noon 6:00pm 9:00pm

First Names Carter Kyleigh Valentina Yoselin

Lights Halogen Mercury-vapor Neon Sodium-vapor

Teachers Mr. Mockel Mrs. Koralis Mrs. Rocek Mrs. Smith

1. Yoselin will depart later than the person who bought the mercury-vapor light.
2. Either the person whose flight departs at 6:00pm or the person whose flight departs at 9:00pm is Kyleigh.
3. Mr. Mockel's student is not Carter.
4. Mrs. Smith's student is Yoselin.
5. Mrs. Koralis's student bought the sodium-vapor light.
6. The person who bought the sodium-vapor light is not Valentina.
7. The person who bought the neon light is not Kyleigh.
8. Mrs. Smith's student didn't buy the neon light.
9. The person whose flight departs at 9:00pm was one of Mrs. Rocek's students.
10. Mr. Mockel's student will depart earlier than Kyleigh.
11. Of Yoselin and the person who bought the mercury-vapor light, one was one of Mrs. Smith's students and the other will depart at 8:00am.