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anonymous
 one year ago
A bag contains 63 candies. John, Alana, and Joe divide the candies into three portions using the extended ratio 2:3:4. If john got the fewest candies and Joe got the most, how many candies did Alana get?
1. 7
2. 14
3. 21
4. 28
anonymous
 one year ago
A bag contains 63 candies. John, Alana, and Joe divide the candies into three portions using the extended ratio 2:3:4. If john got the fewest candies and Joe got the most, how many candies did Alana get? 1. 7 2. 14 3. 21 4. 28

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whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.3if we think of this as doling out batches of candy, each batch contains 2+3+4 = 9 pieces, right? How many batches of 9 can we hand out from 63?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0Alana gets 4 out of every 9 candies.

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.3are you sure about that, SZ? :)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0well, 2:3:4 where Alana gets 4, Joe 3, and John 2....

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.3If john got the fewest candies and Joe got the most...

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.3John, Alana, and Joe divide the candies into three portions using the extended ratio 2:3:4

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.3Yes, 7 batches, and I think we've gotten it nailed down that Alana gets 3 candies from each batch. How many does she get in total?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so she gets 7? or 14?

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.3She gets 3 candies from each batch of 2+3+4 = 9 handed out. You told me that we have enough candies to hand out 7 batches like that.

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.3So she gets 3 candies per batch * 7 batch = 21 candies right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes sorry I am terrible at math!/:

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.3One of the others gets 2 candies per batch * 7 batches = 14 candies and the guy who gets the most gets 4 candies per batch * 7 batches = 28 candies and if we add them all up, 14 + 21 + 28 = 63 candies (if they didn't add up to the total number, we would know that we made a mistake somewhere)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh okay I get what you mean thanks once again your awesome!

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.3In general, if you have an extended ratio like \(2:3:4\) or \(a:b:c\), the number given to \(a\) would be \[\frac{a}{a+b+c}*total\] where total is obviously the total number of items similarly \(b\) would get \[\frac{b}{a+b+c}*total\]and if you're thinking \(c\) would get \[\frac{c}{a+b+c}*total\] give yourself a big pat on the back
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