Think about our math investigation today:
There is another machine in the Teachers' Lounge, a smaller one that holds 132 bottles of iced tea.
How many six packs of bottles will the machine hold?
Full boxes of iced tea are sold at a discount. A full box of iced tea holds 10 six packs of iced tea. How many FULL boxes of iced tea can be used to fill the machine?
Explain in detail the strategy you used to solve these problems. How did you know that your answer was correct?
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The strategy I used was the guess and check distributive. I new I was correct because I checked my answer ones and then I tried it again to see if I got it correctly the first time and if I left any thing out and I left one thing out but I added it in at the last moment.
ReplyDeleteThe way I solved the first step of this problem,132 divided by 6,was long division. I first did how many times does 6 go into 1,that is impossible because six is bigger than 1,so I did how many times does 6 go into 13,the answer is 2,so I put the 2 ontop of the1 and moved on to the next step which was 6 times 2=12 so I did 12-13=1,than I droped the 2 down because there is no number there for me to subtract it from. After all of those steps I got 22. I checked it by doing cross multiplication,so I did 22 times 6. 2 times 6=12 and then I put the two ontop of the two and did 2 times 6 again plus one equals 13,after that I droped the 13 down and all together it equaled 132,and that means that 22 is the corroct answer. 22 six packs of bottles can full the machine.
ReplyDeleteFor the second part of the problem,how many full boxes of ice tea can be used to fill the machine,I did 6 times 10=60, then 60 times 2=120, which means that the answer is that 120 boxes of ice tea with 12 remander can full the machine. I know that it is 12 remander because I did 120+_=132, The answer is 12.
I meant to say for the second part of the problem the answer is 2 boxes with 12 remander,sorry
ReplyDeleteYou and Ayla both misspelled the same word. Weird?
Deletefor the frist promblem i did 6 dived by 132 so 1 goes into 6 2 times and now i did 12-12=00 the answer is 22
ReplyDeletethe second promblem i did 10=60 then 60 times 2=120 that means the answer is 2 with 12 remander.
To solve the problem, I used opposite operation : multiplication. I knew that 6x12 =72 so then I said that 6x10 [ or 6x(5+5) ] = 60. I then added 72 and 60 together, and got 132. But I realized that the factors 12 and 10 = 22 which was my answer. For the second part, I knew that my first answer:22 was part of the second question. So for the 2nd question I used division:22 divided by 10 equals 2 (2remainding). I knew that 2 six packs couldn't equal 1 FULL box so that meant that the 2 tens would be the 2 FULL boxes of iced tea. I knew I was right for both questions because I checked them both using cross-multiplication.
ReplyDeleteI know the question is 132 divided by 6. I know that 6 times 12 = 72, and 72+60 equals 132. 6 goes into 60 10 times, so I can do 12+10 which is 22. I know my answer is right because I can do 22 times 6 and that equals 132 the number of bottles the machine can hold. On the second problem, the answer is 2 because 10 times 6 equals 60 and I kept adding 60 until it was a bigger number than 132. So I know that the number before it is not too big, so I count up the number of times I added the 6, which in this case was 2. There is still a remander of 12 6 packs, but the question asked how many FULL bottles it needed and the answer is 2 full bottles.
ReplyDeleteI meant remainder not remander. I spelled it wrong!
DeleteGood job for correcting your mistake.
DeleteTo solve the first problem first I did 6 X 10 = 60 then I did six times ten again then I did 60 X 2 = 120 then I added a 2 more groups of six to equal 132 then I added the 10 and 10 and 2 to equal 22.
ReplyDeleteTo solve the second problem I just did 6 X 10 = 60 and 60 X 2 =120 to equal two boxes and 12 leftovers the reason I knew I was right was because me and my partner ,Ayla checked each other's work and everyone else at our table had the same 2 answers.
The strategy I used was guess and check first. I divided 132 by 6 and i got 22. I plus 25 6 times and got 150 so i thought to myself should i go down three more values. My head told me yes so i did. I multiplied 22 times 6 and i got 132. for the second problem i also used guess and check i did 10 times 6 equals 60 and 60 plus 60 equal 120 then I minus until I got 12. the answer is 2 with 12 remaining.
ReplyDeleteThe srategy I used was guess and check.So first is did was 132 divided by 6 and then 6x_= 132 wich is the opposite operation and the answer I got was 22.I also did long division for the first problem.For the second problem I did 2 rows and in each pack I wrote 6 so then I added all the 6 into 12s and then I added the 12s and I got 60 so then I added 60+60=120 and then I added 120+12=132 so the answer was 2packs and 12 remainders and for the first problem I got 22.
ReplyDeletein math today i did for the first problem i did 25x4 =120 then i did 6x22=132 .but the strategy i used was the guess and check method for exanple 6x19/6x20/6x21and then 6x22=132.then for the second problem i did 132=60 so i did guess and check then i miniced 132 from120 and that got me the remader of12 then i tried 60x2 and that gave me 120 . and the answer is 2.
ReplyDeleteThe strategy I used was the distributive property. I did 6*10=60, so 60+60=120 and 12÷6=2. 60+60=120+12=135 and 10+10=20 and 20+2=22 and 22 is the answer. The way
ReplyDeleteI checked my answer was cross multiplication so 6*2=12 6*2=12 and add the 10 from the 12 to make 13 so 2 and 13 make 132. To solve the next problem I did 6*10=60 so 60+60=120 and 12 leftovers the way I know I am correct is well 1 box + 1 box = 2 boxes. The answer is 2 and 132-12=120 so 2 boxes and 12 leftovers.
For the first problem the equation was 132 divided by 6=_ so to solve this problem I did the guess and check,so first I did 10x6=60 because ten is a friendly number, then I skipped to 14x6=84 then I skipped to 18x6=108 then i skpped to 20x6=120 then I knew I was close so I did 22x6=132 and that is my answer,the machine can fit 22 six packs.For the seond problem I drew out the ten six packs and all together that equaled 60,so then I added another fullpack of iced tea and that was 60+60=120 so I then did 60x3=180 so I went over 132, so then I did 120+10=130 and 130=2=132 and10+2=12 so the answer is 2 full packs of iced tea with a remainder of 12.
ReplyDeleteThe strategies I used for how many six packs will the vending machine hold were the division and the guess and check (in my head). First, I did 132 divided by 6 equals 22, but before I wanted to make the problem easier. So I used the halfing strategy and did 66 divided by 6 equals 11. I did that twice. And added 11 plus 11, which is 22. For the second problem I used multiplication. You need to do six times 10 twice and when you add 60+60=120 and have a remainder of 12.
ReplyDeleteI solved this problem by doing 10*6=60 Then I did 60-12=48. Now after I got 48 I did 48-20 I got 28. Then I did 28-6=22. Lastly I did 22-20=2.
ReplyDeleteFor my first problem I used long division. I know that 6 can't go into 1 but it can go into 13 two times. And so 6 times 2 = 12 and 13 minus 12 =1. Drop down the 2 and you have 12, and 6 goes into 12 two times. So the answer is 22.
ReplyDeleteFor the second problem I knew that I would have to see how many 60s I could fit into 132 without any extras. So I added 60 pluse 60 which equaled 120. Then I added one more 60 which equalled 180, which went higher than 132. So there were two 60s in 120, that meant the answer was 2.
For the first problem I used long division to solve: How many times does 6 go into 132? To check my answer I used distributive for example 6 x(10+10+2)=132. For the second problem I did 6x10=60 and 60 goes in to 132 2 times so 2 full boxes can go into the machine.
ReplyDeleteThere is another machine in the teachers lounge, a smaller one that holds 132 bottles of delicious
ReplyDeleteICED TEA. Yummy.
Question: How many 6 packs of delicious ICED TEA bottles will this machine hold in all?
Let's Solve: I did long division to solve the problem. First I know that 6 can't divide into 1. But 6 can go into 13 two times. So I put 2 over the 3 on top of the division line. So then 2 x 6 is 12 and I put 12 under the 13. Next I subtract 12 from 13 which equals 1. Then take that 2 from up top and drop it downstairs to the right side of the 1. So now there is a 12 downstairs. Then the six up top can go into 12 two times. So that two goes way downstairs then climbs all the way up the stairs to the top of the division line to the right side of the 2. So the two on the right times the 6 equals 12. Then I take the new 12 and put it below the 12 that is already there. Next I subtract 12 minus 12 and get ZERO. So we look upstairs and the number is 22 and that is my final answer.
Answer: 22 six packs of delicious ICED TEA will fit in the machine in the teachers lounge.
Full boxes of ICED TEA are sold at a discount. A full box of ICED TEA holds 10 six packs.
NEXT QUESTION: How many full boxes of ICED TEA can be used to fill the machine?
LETS SOLVE IT: I know 10 times 6 = 60. Also I used the doubling strategy to make 60 become 120. That is the closest I can get to 132 without overfilling the machine. So...
Answer: Two full boxes of ICED TEA can fit into the machine with room for 12 more bottles. Which my friends and I are happy to drink.
OK NOW I AM REALLY THIRSTY! REALLY MADE IT CLEAR FOR ME TO SEE HOW YOU DID IT WITH LOTS OF DETAIL.
DeleteFor the first part of the problem I used the Guess and Check strategy, starting at 14, counting by twos. For the next part of the problem I did 10x6=60. I knew I needed to do 132/60, but that is impossible, so the closest to that is 120. So the answer is 120 with a remainder of 12. The machine will hold 22 six-packs.
ReplyDeleteToday in math class, we did a problem called the ice tea. I solved it by doing distributive property by times ten by six equals sixty. Then I repeated my previous step of solving the problem. I repeated this step because I knew 60 + 60 = 120. Once I added the 60 + 60 I then added 6 * 2 =12. Then I added 60 + 60 + 12=132. Then I added the amount of multiplication I used 10+10+2 = 22. The vending machine will hold 22 ice teas.
ReplyDelete