Juan has two machines: one exchanges 1 white token into 4 red tokens, while the other exchanges 1 red token into 3 white one. juan has 4 white tokens. after exactly 11 exchanges , he has 31 tokens. how many of those are red?

14 are red

Step-by-step explanation:

Let's identify the 2 types of transactions Juan machines do:

w : changes 1 white token into 4 red tokens (gain: 3 tokens overall)

r : changes 1 red token into 3 white tokens (gain: 2 tokens overall)

We know that Juan does 11 trades, so we can say:

w + r = 11

Overall, Juan started with 4 tokens and ends with 31... so, gain of 27 tokens.

We can model this as:

3w + 2r = 27

(3w because each w transaction, he gains 3 tokens, 2r because every r transaction, he gains 2 tokens).

From first equation we get r = 11 - w, which we place in the second equation:

3w + 2 (11 - w) = 27

3w + 22 - 2w = 27

w = 5, so r = 6 (from first equation).

Now, we know Juan did 5 w transactions and 6 r transactions.  But how many token of each color does he have?

Start: 4W (4 White chips)

He does 4 w transactions, he now has 16R tokens

He does 6 r transactions, he now has 10 (16-6) R tokens, plus 18 W tokens

He does another w transaction, he now has 14 R (10 + 4), plus 17 W(18-1) tokens

He did 11 transactions, and he has 31 tokens at the end, out of which 14 are red.

it would more likely be bald eagle because its has more in the box so about 75%.

step-by-step explanation:

overpriced

step-by-step explanation: