Question

a random survey was conducted to see what kind of shoes people preferred between heels, boots, sneakers and also which color they preferred among 3 listed.

what percentage of participants preferred boots and heels that are red or green?

19.9%
27.3%
31.4%
43.5%

Explanation:

Step1: Find total participants who preferred boots or heels

First, we find the total number of participants who preferred boots or heels. The total for heels is 772 and for boots is 650. So we add these two: $772 + 650 = 1422$.

Step2: Find number of red or green in boots and heels

For red in boots and heels: red in heels is 271, red in boots is 342. So red total: $271 + 342 = 613$.
For green in boots and heels: green in heels is 175, green in boots is 187. So green total: $175 + 187 = 362$.
Now, total red or green in boots and heels: $613 + 362 = 975$.

Step3: Calculate the percentage

The percentage is calculated as (number of red or green in boots and heels / total participants who preferred boots or heels) * 100. So that's $\frac{975}{1422} \times 100 \approx 68.57\%$? Wait, no, wait. Wait, maybe I misread the question. Wait, the question is "what percentage of participants preferred boots and heels that are red or green". Wait, maybe I made a mistake. Wait, let's re-examine the table.

Wait, the table has rows: Heels, Boots, Sneakers, Total. Columns: Red, Blue, Green, Total.

Wait, the total number of participants is 2239 (from the bottom right). But the question is about participants who preferred boots AND heels? Wait, no, "preferred boots and heels" – but people can't prefer both boots and heels? Wait, maybe it's a typo, maybe "preferred boots or heels". Wait, let's check the numbers again.

Wait, the total for heels: 772, boots: 650, sneakers: 817. Total: 772 + 650 + 817 = 2239, which matches the bottom right.

Now, the number of participants who preferred boots or heels: 772 (heels) + 650 (boots) = 1422.

Now, the number of red or green in boots and heels:

Red in heels: 271, red in boots: 342. So red: 271 + 342 = 613.

Green in heels: 175, green in boots: 187. So green: 175 + 187 = 362.

Total red or green in boots and heels: 613 + 362 = 975.

Now, percentage: (975 / 1422) * 100 ≈ 68.57%? But the options are 19.9%, 27.3%, 31.4%, 43.5%. Wait, so I must have misinterpreted the question.

Wait, maybe the question is "what percentage of all participants (total 2239) preferred boots and heels that are red or green". Let's try that.

Total participants: 2239.

Red or green in boots and heels: 975 (as before). Then percentage: (975 / 2239) 100 ≈ 43.5%. Ah! That matches one of the options (43.5%). So I think I misread the question: it's "what percentage of participants (total) preferred boots and heels that are red or green". So total participants is 2239. So 975 / 2239 100 ≈ 43.5%.

Yes, that makes sense. So let's recalculate:

Total red in boots and heels: 271 (heels red) + 342 (boots red) = 613.

Total green in boots and heels: 175 (heels green) + 187 (boots green) = 362.

Total red or green in boots and heels: 613 + 362 = 975.

Total number of participants: 2239 (from the bottom right of the table: Total row, Total column is 2239).

Now, percentage: (975 / 2239) 100 ≈ (975 ÷ 2239) 100 ≈ 43.5%.

Answer:

43.5%