Students complete a tally table to show favorite subjects, then answer questions about the data.

Let’s solve this step by step.

We are given a table with subjects and either tally marks or frequencies. We need to fill in the missing parts using the orange boxes at the top:
The available options are:
- `||||` → that’s 4
- `|||| ||||` → wait, no — looking again:
Actually, the orange boxes show:
1. `||||` → 4
2. `||||` with a slash? Wait — let me read carefully.

Looking at the image description (even though I can’t see it, based on your text):

You said the orange boxes contain:
- `||||` → probably 4
- `||||` but maybe one is crossed? Actually, standard tally: four vertical lines and one diagonal = 5.

Wait — you wrote:

> Complete the tally table by dragging the answers from the list.
> [orange boxes]:
> - `||||` → likely 4
> - `||||` with a diagonal? You wrote “####” which might mean 5? But then you have “12”, “#### III” (which is 8?), “#### ####” (which is 10?), and “5”.

Actually, let’s interpret the tallies properly.

Standard tally system:
- Each group of 5 is shown as four vertical lines and one diagonal across them → represents 5.
- So:
- `||||` = 4
- `|||| /` (or similar) = 5
- `|||| |||` = 8 (five + three)
- `|||| ||||` = 9? No — actually, two groups of five would be 10, so `|||| / |||| /` but usually written as two sets of 5.

But in your problem, the orange boxes are labeled as:

From your text:
“[orange boxes]: IIII, ####, 12, #### III, #### ####, 5”

I think “####” here means a full set of 5 (four vertical + one diagonal). Let’s assume:

- `IIII` = 4
- `####` = 5 (a complete tally group)
- `12` = number twelve
- `#### III` = 5 + 3 = 8
- `#### ####` = 5 + 5 = 10
- `5` = just the number 5

Now look at the table:

Subject | Tally | Frequency
Art | IIII | ? → should be 4
Dance | IIII III II → wait, you wrote “#### #### II” — that’s 5 + 5 + 2 = 12
Music | ? | 8 → so tally should be 8 → which is `#### III` (5+3)
PE | ? | 4 → tally should be `IIII`
Spanish | ? | 10 → tally should be `#### ####` (two groups of 5)
Drama | ? | 5 → tally should be `####` (one group of 5)

So let’s fill the table:

Art: Tally = `IIII` → Frequency = 4
Dance: Tally = `#### #### II` → that’s 5+5+2=12 → Frequency = 12
Music: Frequency = 8 → Tally = `#### III` (5+3)
PE: Frequency = 4 → Tally = `IIII`
Spanish: Frequency = 10 → Tally = `#### ####` (5+5)
Drama: Frequency = 5 → Tally = `####`

Now answer the questions:

a. Which subject was most liked?
→ Look for highest frequency: Dance has 12 → Dance

b. Which two subjects had equal votes?
→ Art has 4, PE has 4 → Art and PE

c. Which subject was least liked?
→ Lowest frequency: Art and PE both have 4 → but since question says “which subject”, and there are two, we pick one? Wait — actually, both are tied for least. But typically, if multiple, we list both? The question says “which subject” singular — but let’s check:
Frequencies:
Art: 4
Dance: 12
Music: 8
PE: 4
Spanish: 10
Drama: 5

Lowest is 4 → shared by Art and PE. But the question says “which subject” — perhaps they expect one? Or maybe it’s okay to say both? Looking at the blank, it’s one line — probably expects one answer. But logically, both are least liked. However, sometimes in such problems, if tied, you can mention either — but better to check context.

Wait — re-read: “Which subject was least liked?” — if two are tied, technically both are least liked. But since the blank is single, maybe they want us to pick one? Or perhaps I made a mistake.

No — Art and PE both have 4, which is the lowest. So strictly speaking, both are least liked. But the question may allow listing both. Since the instruction doesn’t specify, and in many school worksheets, if tied, they accept either or both. But let’s see the format — it’s a single blank. Hmm.

Perhaps I should write “Art and PE” even if it’s one blank — or maybe the problem considers only one. Wait — let’s double-check frequencies:

Art: 4
PE: 4 → yes, same.

But maybe the question allows “Art and PE” as answer. I’ll go with that.

d. How many students were in the class altogether?
Add all frequencies:
Art: 4
Dance: 12
Music: 8
PE: 4
Spanish: 10
Drama: 5

Sum: 4 + 12 = 16; 16 + 8 = 24; 24 + 4 = 28; 28 + 10 = 38; 38 + 5 = 43

Total = 43

Now verify:

Tallies should match:

Art: 4 → correct
Dance: 12 → correct
Music: 8 → correct
PE: 4 → correct
Spanish: 10 → correct
Drama: 5 → correct

All good.

Final Answers:

a. Dance
b. Art and PE
c. Art and PE (since both have lowest frequency)
d. 43

But for c, if the worksheet expects only one, perhaps they consider Art first? But logically, both are correct. I’ll put “Art and PE” to be accurate.

──────────────────────────────────────

Final Answer:
a. Dance
b. Art and PE
c. Art and PE
d. 43