Thursday, February 9, 2017

POTW #20 - Financial Literacy!

Please see the latest POTW solutions and questions below. Note that POTW #20 deals with something very important to your health and happiness, knowledge and understanding about financial literacy.

POTW #20 Gr. 8 Question


POTW #20 Gr. 7 Question
 


POTW #19 Gr. 8 Solution
 

POTW #19 Gr. 7 Solution
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10 comments:

  1. AnonymousFebruary 9, 2017 at 11:01 AM

    The answer for the grade 7 potw is there are 91 coins in the piggy bank. This is because you first convert $18.20 to 1820 cents. Then from there you have to find out how much times the ratio of coins go into 1820 so the formula is
    1820/((9*25)+(3*10)+5)=
    1820/((9*25)+30+5)
    1820/(225+30+5)
    1820/260=7.
    We now know that the ratio of coins goes into 1820 7 times. But we still have to find out how much coins there are in each ratio
    (9+3+1)*7=
    13*7=91 There are 91 coins

    ReplyDelete
  2. AnonymousFebruary 9, 2017 at 4:24 PM

    Grade 7 POTW:
    I first found out how much the coins in the piggy bank that we know of is worth.
    9 Quarters
    3 Dimes
    1 Nickel
    (25*9)+(10*3)+5=
    225+(10*3)+5=
    225+30+5=
    270
    I next convert $18.20 to cents which is 1820.
    1820/270=7

    I multiplied it by 7 because I was finding out how many coins were there of each coins.

    Lastly...
    (9+3+1)*7=91

    There are 91 coins in the piggy bank. Oink oink.

    ReplyDelete
  3. AnonymousFebruary 9, 2017 at 5:05 PM

    I did POTW #20 in my math journal and got an answer of $26611.2 and $1770.8
    ...I don't know if this is completely correct... hopefully.

    ReplyDelete
  4. AnonymousFebruary 9, 2017 at 7:44 PM

    Grade 7 POTW #20:
    In total, there are 91 coins in the piggy bank.
    How I found this out was using guess and check. I first converted $18.20 to cents (1820 cents) then I wrote out the equation:
    25Q+20D+5N=1820 First I tried 25*36+10*12+5*4=1040. Then I tried going a bit higher. 25*54+18*10+6*5=1560. Then 25*63+10*21+5*7=1820. The question is not asking for how many of each coin there is, but it is asking for how many coins in total. To find that number, we add all the previous numbers we plugged into the equation. 63+21+7 and that equals 91. Therefore, there are 91 coins in the piggy bank (and I agree with Kevin's answer).

    ReplyDelete
  5. AnonymousFebruary 10, 2017 at 2:36 PM

    I figured that there were 91 coins. My way was really weird, but first I converted 18.20 dollars to 1820 cents. Then, I make a ratio and use the total to get my answer. To do this, I made all the ratios to 5, so 9:3:1 is actually 9*(25/5)+10*(10/5)+1= 9*5+3*2+1 = 45+6+1=52. 1820/52=35. However, this is 5 cents ratio = 35, so it is actually 35/5=7. Now, I multiply 7*(9+3+1) = 7*13=91. I used 13 because that was how many coins I began with.

    This will seem confusing, I can probably assure you of it. I still somehow got the answer, so I don't really care XD

    -Alan

    ReplyDelete
  6. AnonymousFebruary 10, 2017 at 7:28 PM

    Grade 7 POTW:

    First of all, I needed to figure out how much the coins were worth. After, I converted $18.20, into cents, so it was easier to divide with. Now I needed to figure out how many cents the coins were worth.
    So a quarter is worth 25, dime is 10, and nickel is five. So, I multiplied that by the number of each coin. After, I added up the total of money and divided it into the total value of the piggy bank.
    So we would do:
    25*9=225
    3*10=30
    1*5=5
    225+30+5=270
    1820/270=7
    Then, I needed to multiply this number by the added ratio, to find the answer. So we would do:
    13*7, giving us 91.
    Therefore, there are 91 coins in the piggy bank.

    ReplyDelete
  7. AleksFebruary 12, 2017 at 1:15 PM

    This is quiet a simple question as i normally look at ratios as fractions. We can increase and decrease them by multiplying or dividing. But what i decided to do was first find out how much the ratio 9:3:1 is worth.
    25*9=225
    10*3=30
    5*1=5
    225+30+5=270 or $2.70
    Now that i found out how much 1 ratio (9:3:1) is worth i can divide the total amount by 270.
    1820/270=7
    And now, since i now that 7 is way too small a number to work with this situation, i need to multiply 13, by all the numbers in the ratio added together. This will tell me how many coins there are.
    13*7=91.
    This means that there are 91 cons in the Piggy bank.

    ReplyDelete
  8. AnonymousFebruary 15, 2017 at 6:00 AM

    Grade 7: Value of 1 ratio with non-dividable numbers: 25*9=225+30=255+5=260 cents.
    260+260=520+260=780+260=1040+260=1300+260=1560+260=1820 cents.
    I added 7 sets of 13 coins together to get $18.20. 7*13=91. There are 91 coins in the piggy bank.

    ReplyDelete
  9. UnknownFebruary 16, 2017 at 2:21 PM

    Grade 7 POTW

    In order to solve this problem, I decided to use the ratio and guess and check by multiplying it by some numbers, to see which combination of coins would equal $18.20.

    Quarters Dimes Nickels Amount of Money
    9 3 1 $2.60

    Using guess and check

    x10

    Quarters Dimes Nickels Amount of Money
    90 30 10 $26

    x8

    Quarters Dimes Nickels Amount of Money
    72 24 8 $20.80

    x7

    Quarters Dimes Nickels Amount of Money
    63 21 7 $18.20

    Therefore, there are 63 quarters, 21 dimes and 7 nickels, or 91 coins in the piggy bank.

    ReplyDelete
  10. UnknownFebruary 16, 2017 at 3:23 PM

    Here is how I went about solving the Grade 7 POTW:
    1) Ratio: 9 quarters : 3 dimes : 1 nickel
    2) Quarters: 9 * 25 = 225
    3) Dimes: 3 * 10 = 30
    4) Nickel: 1 * 5 = 5
    5) Total: 225 + 30 + 5 = 260 or $2.60
    6) Division: 1820 / 260 = 7
    7) Coin Quantity Addition: 9 + 3 + 1 = 13
    8) Final Multiplication: 13 * 7 = 91

    Therefore there are 91 coins in the piggy bank.

    P. S. I did do a fully worded explanation but it got deleted so I stuck to doing step-by-step calculations.

    ReplyDelete

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