**Unformatted text preview: **Assignment #2 1. m ÷ 8 = n n x 2 = 28 What is the value of m? He started with the number 112 2. Chase has a certain amount of shirts. He divides them equally to fit in his 4 drawers. He finds two more shirts. He adds those two extra shirts in his last drawer. He now has 22 shirts in total. How many shirts are in his bottom drawer (b)? t ÷ 4 = n t + 2 = 22 n + 2 = b He has 7 shirts in his bottom drawer. 3. Think of a number and then double that number. Add 12 to that new number and then subtract 4. Divide that number by 2 and then subtract your original number. (2x +12 – 4) ÷ 2 –x Your answer will always be 4. 4.
5. N/A 6. Puzzle #124: First I divided 96 by 2 which gave me 48. I then divided 48 by 6 to solve the pink trapeze (8). Once I figure out what the trapeze was, I subtracted 8 from 48 which gave me 40. I then divided 40 by two which gave me 20, and then divided 20 by 2 to solve the orange squares (10). I also divided 20 by 4 to solve the purple hearts (5). Puzzle #123: I started by dividing 60 by 2 to figure out how much the other sections were worth. This gave me 30 on each side. I divided 30 by 2, which gave me 15 and then divided 15 by 5 which gave me 3, the value of the orange squares. On the left side I divided 15 by 3 which gave me 5, the value of the purple trapeze. Now that I know the value for both the purple trapeze and the orange square I added the value of 2 trapezes (10) to the value of one orange square (10+3). This gives me 13, which only leaves room for a value of 2 to have a total of 15. Therefore the blue hearts have a value of 2. With that information I was able to isolate the value of the yellow flame by adding the value of three hearts together (2 + 2 + 2 = 6) and subtracting that from 15. This gave me a value of 9. Finally the value of the yellow flame is 9. 7. ^ 8. a) (47 – 5) ÷ 2 = n n + 5 = m 26 21 47 If (47 – 5) ÷ 2 = n, and n +5 = m, what is the value of m? One album has 26 hockey cards and the other has 21. b) 13 per 20 mins 1h = 120mins 20 x 6 = 120 13 x 6 = 78 She will have planted 78 flowers. 3 10 30 10 30 = 120 3 10 30 3 9 = 78 If 120 ÷ m = 20, and m x 13 = f, and what is the value of f ? 3 30 30 3 30 9 9. 10. 300+10+7
+210 = 527 11. 12. Dennis’ scenario would have a steeper line because even though he is starting at a lower number, he is constantly collecting a higher number (3) as opposed to Mitchell who is collecting 2 every time. Mitchell’s line is going diagonally but the not as steep. 13. Park B offers a better deal for a lesser amount of rides because the price for 3 rides at Park A is 17.25 which amounts to around 5.75 per ride, as opposed to Park B which is 8$ for two rides which amounts to around 4$ per ride. For 7-‐ 8 rides it is cheaper for Park B option again because for 7 rids at Park A it is 24.25S which amounts to around 3.46$ per ride as opposed to Park B where 8 rides is 25$ which amounts to around 3.12$. Even though there isn’t a great difference Park B still offers the better pricing for that range of rides. As for people who want to try more rides, Park A offers a better deal because for 12 rides at Park it is 33$ which amounts to around 2.75$ per ride as opposed to Park B which offers 10 rides for 30$ which amounts to around 3$ per ride. Therefore depending on the number of rides the costumer intends to do, Park B is a better option for less rides while Park A is a better option for more rides. 14. There will be 201 toothpicks in the 100th term. Term 1 2 3 4 100 Add 1 +2 +3 +4 +5 +101 Toothpicks 3 5 7 9 102 The pattern is always adding one to the term itself. Then adding that sum to the term, which will give you the amount of toothpicks for that term. You can also go by adding two toothpicks to each number of toothpicks but that would lead to a lengthy amount of adding. 17. A = b x h In order to find A, you leave the equation as it is. In order to find b, you would divide both sides of the equation by h in order to isolate the variable b. In order to find h, you would divide both sides of the equations by b in order to isolate the variable h. a = b x h b= a/h h = a/b For example: a = b x h a = 6 a = 6 b= 6 h = 2 b= 2 h= 2 6 = b x 2 6 = 2h a = 6 x 2 6÷2 = b x 2 ÷2 (cancels out) 6÷2 = h x 2 ÷2 a = 12 b= 3 h = 3 18. There are many solutions to this problem. • If there are 6 pigs, there can be 2 chickens • If there are 5 pigs, there can be 4 chickens • If there are 4 pigs, there can be 6 chickens • If there are 3 pigs, there can be 8 chickens • If there are 2 pigs, there can be 10 chickens • If there is 1 pig, there can be 12 chickens (p x 4) + (c x 2) = 28 p = number of pigs c = number of chickens 20. 22. 23. 4 + 12n n = number of boxes Start at 4, multiply the number of boxes by 12 (number of pencils) and then add it to the 4 pencils. 6+8 = 14 = n 4 + (14 x 12) = 172 If there are 14 boxes there are a total of 172 pencils. 25. For 6 months Deal B has a better deal. Deal A: 3m x 2 m= 49.62 Deal B: 10m m = number of months As opposed to one year where Deal A is a better deal. Deal B: 10m + 9.24$ m= number of months Deal A : 12months = 94.62$ ...

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