Pam  0:00  
Hey, fellow mathers! Welcome to the podcast where Math is Figure-Out-Able. I'm Pam Harris.

Kim  0:07  
And I'm Kim Montague.

Pam  0:08  
And this episode is a MathStratChat episode where we chat about our math strategies. Every Wednesday evening, I throw out a math problem on social media, and people from around the world chat about the strategies they use and comment on each other's thinking.

Kim  0:22  
Okay, so this Wednesday, our math problem was a little different. It was which is more orangey, 30 ounces of orange mix in 50 ounces of water or 40 ounces of orange mix in 60 ounces of water? Which is more orangey? How would you solve this problem? Pause the podcast, solve it any way you want, and then come on back to hear how we're going to

Kim  0:42  
solve it. 

Pam  0:43  
Bam. Alright, Kim. Whoo! Orangey.

Kim  0:46  
I don't really like orangey drinks,

Kim  0:47  
so just so you know.

Pam  0:49  
Can I just give a shout out to CMP, Connected Math Project. They had a lovely task all about oranginess that I was thinking about when I wrote this problem. So, there you go. Okay. So, you know, I don't like orangey either, honestly. 

Kim  1:03  
What flavor do you like? 

Pam  1:04  
I mean, I just drink a lot of water these days. 

Kim  1:08  
Yeah.

Pam  1:08  
If I'm drinking something like this, it would be lemonade.

Kim  1:09  
Yeah, same. 

Pam  1:09  
Or if I'm drinking something else, it would probably be root beer. Those are my two.

Kim  1:17  
Really?

Pam  1:17  
Yeah, I don't know. 

Kim  1:17  
Alright, you want to go first? 

Pam  1:20  
Pizza. Pizza has to have root beer. 

Kim  1:21  
Pizza. I love pizza.

Pam  1:21  
Must have root beer. That's about the only time I drink soda anymore these days.

Kim  1:26  
Mmhm. 

Pam  1:27  
And I grew up calling it pop.

Kim  1:29  
Of course you did.

Pam  1:31  
Did you ever call it pop? 

Kim  1:32  
No, I did not.

Pam  1:33  
I grew up in Idaho. 

Pam  1:34  
And then I moved to Texas where

Pam and Kim  1:35  
Everything's coke. 

Kim  1:36  
Yeah. What kind of coke do you want?

Kim  1:38  
Yeah.

Pam  1:38  
Okay. 

Kim  1:38  
You want to go first or you want me

Kim  1:40  
to? (unclear).

Pam  1:41  
Oh, golly. So, the first thing I did... 30... Well, here's what I did. I did 30 to 50 and 40 to 60.

Kim  1:48  
Okay.

Pam  1:49  
And the very first thing I did was say, well, 30 to 50 is like 3 to 5. And 40 to 60 is like 4 to 6. 

Kim  1:55  
Yeah.

Pam  1:56  
And 4 to 6 is like 2 to 3.

Kim  1:58  
Okay.

Pam  1:59  
So, on my paper right now, I've got 3 to 5 and 2 to 3, and I'm asking which one is more orangey? And at the moment, golly, the only thing that's coming to mind is that I could compare with 15s. 

Kim  2:11  
Okay.

Pam  2:12  
So, I could say like three-fifths is equivalent to five-fifteenths.

Pam  2:17  
And two-thirds is equivalent to... I'm having to think. Is that 10?

Kim  2:23  
Wait, did you say three-fifths?

Pam  2:25  
Yeah. Oh, gosh. No, sorry. Yes, I did, but I was wrong. 

Kim  2:28  
Okay. 

Pam  2:29  
3... One-fifth is... I'm tired is three-fifteenths.

Pam  2:35  
So, three 1/5s would be nine-fifteenths. So, I've got nine-fifteenths is like the 30 to 50. And ten-fifteenths is like the 40 to 60. So, ten-fifteenths has more orange mix than water than nine-fifteenths. 9 to 15. So, the 40 to 60 is more orangey. That's all I had today. I don't know I'm

Pam  2:56  
feeling kind of wimpy.

Kim  2:57  
I mean, I think scaling down to scale up for a nice comparison. Solid strategy.

Pam  3:03  
Alright. 

Kim  3:03  
I like it. So, these numbers feel percentagey to me. So, 30 to 50 is also 3 to 5, which is 60%. 

Pam  3:16  
Oh, I like that. 

Kim  3:17  
And then 40 to 60 is like 4 to 6, which is 66%. So, the 66% juice.

Pam  3:26  
I like the fact... So, on my paper now I have nine-fifteenths and 60% and ten-fifteenths and 66%. I think it's interesting to me how nine-fifteenths felt closer to ten-fifteenths than 60 feels to 66%.

Pam  3:41  
But they're not. 

Kim  3:42  
Oh, those two fraction comparisons seem closer than (unclear).

Pam  3:45  
Yeah, it seems like really close. 

Kim  3:47  
Yeah.

Pam  3:47  
Now, I'm like, yeah, they're one-fifteenth apart. I guess one-fifteenth is probably 6%. 

Kim  3:51  
Yeah.

Pam  3:51  
Well, 6 and 2/3%.

Kim  3:53  
And I think it's interesting that if you would have said nine-fifteenths and ten-fifteenths.

Pam  3:58  
Yeah. 

Kim  3:59  
I wouldn't have gravitated probably towards the percent. So, the numbers made it nice percentages. Alright, very good. So, we can't wait to see what you do each week. Join us on MathStratChat and let us know how you think about the problems and comment on each other's strategies.

Pam  4:14  
Love it when you comment on each other's strategies. Ya'll, we post the problems on Wednesdays around 7:00 p.m. Central. When you answer, tag me and use the hashtag MathStratChat. Then join us here to hear how we're thinking about the problem. We love having you as part of the Math is Figure-Out-Able movement. Math is Figure-Out-Able!