Question

Match the word CHATTAHOOCHEE to the corresponding ratios.

a) 3:2 - the ratio of H's to O's
b) 2:3 - the ratio of E's to H's
c) 2:2 - the ratio of T's to E's
d) 13:3 - the ratio of letters to H's
e) 2:13 - the ratio of O's to letters

Answer 1

In summary, the correct matches for the provided ratios based on the occurrences of letters in 'CHATTAHOOCHEE' are: c) the ratio of T's to E's is 2:2, and e) the ratio of O's to letters is 2:13. The other ratios do not match the occurrences of letters in the given word.

Step-by-step explanation:

The student is asking to match the word CHATTAHOOCHEE with corresponding ratios related to the frequency of certain letters in the word. Let's first count the occurrences of the relevant letters in CHATTAHOOCHEE:

• H: 2 times
• O: 2 times
• E: 2 times
• T: 2 times

Using this information, we can match the ratios:

1. 3:2 - the ratio of H's to O's is incorrect because there are 2 H's and 2 O's, so the correct ratio is 1:1.
2. 2:3 - the ratio of E's to H's is incorrect because there are equal numbers of E's and H's, resulting in a ratio of 1:1.
3. 2:2 - the ratio of T's to E's is correct since both T and E occur twice, so their ratio is indeed 1:1 or 2:2 when not reduced.
4. 13:3 - the ratio of letters to H's is incorrect. There are 13 letters in total and 2 H's, making the correct ratio 13:2.
5. 2:13 - the ratio of O's to letters is incorrect because there are 2 O's and 13 letters total, so the correct ratio is 2:13, which means this option is actually correct.

Correct matches for the given options would therefore be:

• b) 2:3 - the ratio of E's to H's should be 1:1 or 2:2 when written with the same denominators
• c) 2:2 - the ratio of T's to E's is 2:2 (which is equal to 1:1 when reduced)
• e) 2:13 - the ratio of O's to letters is indeed 2:13

All other options are inaccurate matches based on the given word.