Question

in a telephone poll of 40 people, 8 people said they like watching basketball. what is the ratio of the number of people who do not like watching basketball to the total number of people polled? write your answer as two numbers separated by a colon (for example, 2:3).

Explanation:

Step1: Find number of non - basketball fans

Total people polled is 40, and 8 like basketball. So the number of people who do not like basketball is $40 - 8=32$.

Step2: Find the ratio

We need the ratio of the number of people who do not like basketball (32) to the total number of people polled (40). Simplify the ratio $\frac{32}{40}=\frac{4}{5}$? Wait, no, wait. Wait, the ratio is 32:40, and we can simplify it by dividing both numbers by 8. $32\div8 = 4$ and $40\div8=5$? Wait, no, wait. Wait, 32:40 can be simplified as follows: divide numerator and denominator by 8, we get 4:5? Wait, no, wait. Wait, 32 and 40, GCD of 32 and 40 is 8. So 32 ÷ 8 = 4, 40 ÷ 8 = 5. Wait, but let's check again. The number of people who do not like basketball is 40 - 8 = 32. Total is 40. So the ratio is 32:40. Simplify by dividing both by 8: 32/8 = 4, 40/8 = 5. Wait, but 32:40 is equal to 4:5? Wait, no, 32 divided by 8 is 4, 40 divided by 8 is 5. So the ratio is 4:5? Wait, no, wait, 32:40, let's divide both by 8: 32/8 = 4, 40/8 = 5. So the ratio is 4:5? Wait, but let's check the numbers again. 40 - 8 is 32. So 32 to 40. 32 and 40, divide by 8: 4 and 5. So the ratio is 4:5? Wait, no, wait, maybe I made a mistake. Wait, 32:40, divide numerator and denominator by 8, we get 4:5. Wait, but let's confirm. 32/40 = 4/5, so the ratio is 4:5? Wait, no, wait, the problem says "the ratio of the number of people who do not like watching basketball to the total number of people polled". So 32 (not like) to 40 (total). So 32:40, which simplifies to 4:5. Wait, but let's check with another approach. 32 and 40, GCD is 8. So 32 ÷ 8 = 4, 40 ÷ 8 = 5. So the ratio is 4:5. Wait, but wait, 32:40 is equal to 4:5. Yes.

Answer:

4:5