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 is a MathStratChat episode because 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  0:20  
Okay, so this Wednesday, our math problem was which is more orangey? 15 ounces of orange mix in 12 ounces of water? Or 18 ounces of orange mix in 15 ounces of water? How would you like to solve this problem? Pause the podcast. Solve it however you'd like. And then come on back to join us.

Pam  0:42  
Well, want to go first or me?

Kim  0:46  
I'll go.

Pam  0:48  
Okay.

Kim  0:49  
So... 

Pam  0:50  
Don't take my 

Pam  0:51  
way. 

Kim  0:51  
Oh. Okay, well, we can work through another one if we (unclear). 

Pam  0:54  
I'm going to...

Pam  0:55  
Can I just say right off the bat, there is also a difference of 3 in these ratios. 

Kim  0:59  
Yeah.

Pam  1:00  
15 to 12. 18 to 15.

Kim  1:02  
Yeah, and that's what I was focusing on. So, I kind of ignored the 1 to 1 part of the orange to water. 

Pam  1:10  
(unclear) again. Okay. 

Kim  1:11  
So, I ignored the extra. And I focus on the extra. So, there's 3 extra ounces of mix this time.

Pam  1:22  
Mmhm.

Kim  1:23  
To spread among the 12 ounces of water. So, I wrote 3 to 12. And then in the other mixture, I wrote 3 to 15. So, the 3 extra ounces spread among the 15 ounces of water. Nice. And I think that 3 to 12 is bigger than 3 to 15. So, I'm going to say that the first one is orangier.

Pam  1:45  
More orangey.

Kim  1:46  
Mmhm.

Pam  1:47  
3...

Kim  1:48  
Is that a word? Orangier?

Pam  1:49  
I don't think so. 3 ounces of whatever spread among 12 cups of water is more orangey than 3 ounces of stuff spread among 15 cups of water.

Kim  2:01  
Mmhm.

Pam  2:01  
Sure enough, sure enough. I like it. Nice. Okay, I scaled up to get the same amount of water. 

Kim  2:07  
Okay.

Pam  2:09  
So, 12 and 15, for whatever reason, are singing to me 60. Just feels 60. 

Kim  2:15  
Yep. 

Pam  2:16  
So, 12 times 5 is 60, so I scaled up the 15 times 5 to 75. So, fifteen-twelfths is equivalent to 75/60. And I guess I just said that in fraction, when really the ratios. 15 to 12 is equivalent to 75 to 60. And then the ratio of 18 to 15, I could scale 15 up to 60 times 4. So, 18 times 4. To do that, I had to do 18 times 2 is 36. And then 36 times 2 is 72.

Kim  2:45  
Yeah. 

Pam  2:45  
I don't know 18 times 4, but I do know... (unclear)

Kim  2:48  
But you can figure it out. 

Pam  2:49  
I can. So, then I have 75 mix to 60 water, compared to 72 mix to 60 water. So, more mixed to the same amount of water means that the first is more orangey.

Kim  3:05  
Nice. Alright, we cannot wait to see every week what you do. Join us on MathStratChat and let us know how you think about the problems and comment on each other's thinking. 

Pam  3:14  
I'm

Pam  3:15  
sure I'm supposed to say something right now. We post the problems on Wednesdays at 7:00 p.m. Central. When you answer, tag me and use the hashtag MathStratChat. You know what I was doing? I was wondering to myself what else I could have done. I was looking at the numbers, and then you finished talking, and I was like, "Oh, crumb. Where's my part?" When you answer, tag... That's mathematical behavior, y'all. When you answer, tag me and use the hashtag MathStratChat, then join us here to hear how we're thinking about the problem. Y'all, thanks for being part of the Math is Figure-Out-Able movement! Math is Figure-Out-Able!