Question

key: 4|1 = 41 bears
how many zoos have exactly 16 bears?
______ zoos

Explanation:

Step1: Understand the stem-and-leaf plot key

The key \( 4|1 = 41 \) bears means the stem is the tens digit and the leaf is the ones digit. So for a number like 16, the stem should be 1 (tens place) and the leaf should be 6 (ones place).

Step2: Look at the stem for 1 and count leaves of 6

Looking at the stem - and - leaf plot, the stem 1 has leaves 8, 8. The stem 2 has leaves 1, 3, 6, 6, 7, 7, 9. Wait, no, we want the number of zoos with exactly 16 bears. So the stem should be 1 (since \( 1\times10 + 6=16 \))? Wait, no, wait. Wait, the stem is the tens digit. So for 16, tens digit is 1, ones digit is 6. But looking at the stem 1, the leaves are 8 and 8. Wait, maybe I made a mistake. Wait, no, maybe the stem is the tens place. Wait, let's re - examine. The key is \( 4|1 = 41 \), so stem is 4 (tens place), leaf is 1 (ones place). So for 16, tens place is 1, ones place is 6. But in the stem 1, the leaves are 8,8. Then look at stem 2? No, wait, 16: tens digit 1, ones digit 6. Wait, maybe the stem is the tens digit, so we need to find the stem corresponding to tens digit 1, and then count the number of leaves equal to 6. But in stem 1, the leaves are 8 and 8. Wait, maybe I misread the stem - and - leaf plot. Wait, the stem 2 has leaves 1, 3, 6, 6, 7, 7, 9. Wait, no, 21, 23, 26, 26, 27, 27, 29. Wait, the question is about 16. Wait, maybe the stem is 1, and we need to see if there are leaves of 6. But in stem 1, leaves are 8,8. Wait, maybe the stem is the tens digit, so 16 would have stem 1 and leaf 6. But there are no leaves of 6 in stem 1. Wait, no, wait, maybe I made a mistake. Wait, let's check the stem - and - leaf plot again. The stems are 0,1,2,3,4,5. For stem 1: leaves 8,8 (so numbers 18,18). For stem 2: leaves 1,3,6,6,7,7,9 (so numbers 21,23,26,26,27,27,29). For stem 1, we need to find how many leaves are 6 when stem is 1. But stem 1 has leaves 8,8. Wait, maybe the problem is about 26? No, the question is 16. Wait, no, maybe I misinterpret the key. Wait, the key is \( 4|1 = 41 \), so stem is the tens digit, leaf is the ones digit. So 16 would be stem 1, leaf 6. But in stem 1, there are no leaves of 6. Wait, but in stem 2, leaves of 6: two leaves (6,6). Wait, no, the question is 16. Wait, maybe the stem is the ones digit? No, the key says \( 4|1 = 41 \), so stem is tens, leaf is ones. So 16: tens = 1, ones = 6. So we look at stem 1, count the number of leaves equal to 6. But stem 1 has leaves 8,8. So zero? Wait, no, maybe I misread the stem - and - leaf plot. Wait, let's write out all the numbers:

- Stem 0: no leaves, so no numbers.
- Stem 1: 18, 18
- Stem 2: 21, 23, 26, 26, 27, 27, 29
- Stem 3: 31, 37
- Stem 4: 41, 44, 45, 47
- Stem 5: 50, 53

Wait, the question is how many zoos have exactly 16 bears. But in the list above, there is no 16. Wait, but maybe the stem is the ones digit? No, the key is \( 4|1 = 41 \), so stem is tens. Wait, maybe a typo? Or maybe I misread the stem - and - leaf plot. Wait, looking back at the stem - and - leaf plot:

Stem 1: 8,8

Stem 2: 1,3,6,6,7,7,9

Ah! Wait, maybe I got the stem wrong. Wait, maybe the stem is the ones digit? No, the key is \( 4|1 = 41 \), so 4 is tens, 1 is ones. So stem is tens, leaf is ones. So 16: tens = 1, ones = 6. But stem 1 has leaves 8,8. Stem 2 has leaves 1,3,6,6,7,7,9 (so numbers 21,23,26,26,27,27,29). Wait, the question is 16. But there are no numbers with tens digit 1 and ones digit 6. But that can't be. Wait, maybe the stem is the ones digit? No, the key says \( 4|1 = 41 \), so 4 (tens) and 1 (ones). So stem is tens. Wait, maybe the problem is about 26? But the question is 16. Wait, maybe I misread the stem. Wait, the stem 1: maybe it's 1 (tens) and leaves 8,8 (so 18,18). Stem 2: 2 (tens) and leaves 1,3,6,6,7,7,9 (so 21,23,26,26,27,27,29). So for 16, we need tens digit 1 and ones digit 6. But in stem 1, there are no leaves of 6. So the number of zoos with exactly 16 bears is 0? Wait, no, that seems odd. Wait, maybe the stem is the ones digit? Let's try that. If stem is ones digit, then \( 4|1 = 41 \) would mean stem 1 (ones digit) and leaf 4 (tens digit), so number is 41. Then for 16, ones digit is 6 (stem 6) and tens digit is 1 (leaf 1). But there is no stem 6. So that doesn't work. Wait, maybe the key is \( 4|1 = 41 \), so stem is the first digit, leaf is the second digit. So 41: stem 4, leaf 1. So 16: stem 1, leaf 6. So we look at stem 1, count the number of leaves equal to 6. Stem 1 has leaves 8,8. So 0? But that seems wrong. Wait, maybe the stem - and - leaf plot has a typo, or I misread the leaves. Wait, looking at the stem 2: leaves 1,3,6,6,7,7,9. So two 6s. Wait, maybe the question is about 26? But the question says 16. Wait, maybe the user made a mistake, but according to the given stem - and - leaf plot, for 16 (stem 1, leaf 6), there are no leaves of 6 in stem 1. Wait, no, wait, maybe I mixed up stem and leaf. Wait, the key is \( 4|1 = 41 \), so stem is 4, leaf is 1. So the number is \( 10\times stem+leaf \). So for 16, \( 10\times stem + leaf=16 \), so stem = 1, leaf = 6. So we look at the row where stem is 1, and count the number of leaves equal to 6. In the stem 1 row, the leaves are 8 and 8. So the number of zoos with exactly 16 bears is 0? But that seems odd. Wait, maybe the stem is 2? No, 26 would be stem 2, leaf 6. And in stem 2, there are two leaves of 6. But the question is 16. Wait, maybe the question was supposed to be 26? But as per the given question, it's 16. So according to the plot, stem 1 has leaves 8,8, so no 6s. So the number of zoos is 0? Wait, no, maybe I misread the stem. Wait, the stem 1: maybe it's 1 (tens) and leaves 8,8 (18,18). Stem 2: 2 (tens) and leaves 1,3,6,6,7,7,9 (21,23,26,26,27,27,29). So for 16, we need 1 (tens) and 6 (ones), but there are no such numbers. So the answer is 0? Wait, but that seems wrong. Wait, maybe the key is \( 4|1 = 41 \), so stem is the ones digit, leaf is the tens digit. Then 41 would be stem 1 (ones), leaf 4 (tens), so number is 41. Then 16 would be stem 6 (ones), leaf 1 (tens), so number is 16. But there is no stem 6. So that doesn't work. I think the correct way is: stem is tens, leaf is ones. So 16: stem 1, leaf 6. Stem 1 has leaves 8,8. So number of zoos is 0. But that seems odd. Wait, maybe I made a mistake. Wait, let's check again. The stem - and - leaf plot:

Stem 0: no leaves

Stem 1: 8,8 (so 18, 18)

Stem 2: 1,3,6,6,7,7,9 (so 21,23,26,26,27,27,29)

Stem 3: 1,7 (31,37)

Stem 4: 1,4,5,7 (41,44,45,47)

Stem 5: 0,3 (50,53)

So the numbers are: 18,18,21,23,26,26,27,27,29,31,37,41,44,45,47,50,53.

Now, how many of these are 16? None. So the number of zoos with exactly 16 bears is 0. Wait, but that seems strange. Maybe the question was 26? Then the answer would be 2. But according to the question, it's 16. So I think the answer is 0. Wait, no, maybe I misread the stem. Wait, the stem 1: maybe the leaves are 6,6? No, the user's image shows stem 1 with 8,8. So I think the answer is 0. But that seems odd. Wait, maybe the key is different. Wait, the key is \( 4|1 = 41 \) bears, so maybe the stem is the number of tens, and the leaf is the number of ones. So 16 is 1 ten and 6 ones. So we look at the stem 1 (1 ten) and count the number of leaves (ones) equal to 6. In stem 1, the leaves are 8 and 8, so no 6s. So the number of zoos is 0.

Answer:

0