Question

3:2 the ratio of T's to E's 2. 2:3 the ratio of letters to H's 3. 2:2 the ratio of O's to letters 4. 13:3 the ratio of H's to O's 5. 2:13 the ratio of E's to H's

Answer 1

1.
`3 : 2 = H : C`

2.
`2 : 3 = C : H`

3.
`2 : 2 = O : T`

4.
`13 : 3 = All\ Letters : H`

5.
`2 : 13 = E : All\ Letters`

Explanation:

See comment for complete question.

We have the following letters and their frequencies

`C = 2`
`H = 3`
`A = 2`
`T = 2`
`O = 2`
`E = 2`

Solving (1): 1.
`3 : 2 = H : [\ ]`

From the alphabets listed above:

`H = 3`,
`C = 2`
`A = 2`
`T = 2`
`O = 2`
`E = 2`

So, the 3:2 can be H : any of the alphabets. For this solution, we use:

`3 : 2 = H : C`

Solving (2)
`2 : 3 = [\ ] : H`

This is the inverse of (1) solved above.

So 2 : 3 is:

`2 : 3 = C : H`

Solving (3)
`2 : 2 = O : [\ ]`

From the alphabets listed above:

`C = 2`
`A = 2`
`T = 2`
`O = 2`
`E = 2`

Any selected alphabet will represent 2 : 2

So, we have:

`2 : 2 = O : T` or O : any of C, A and E

Solving (4):.
`13 : 3 = [\ ] : H`

The total of all alphabet in the given word is: 13.

So,

`13 : 3 = All\ Letters : H`

Solving (5):
`2 : 13 = E : [\ ]`

The total of all alphabet in the given word is: 13.

So,

`2 : 13 = E : All\ Letters`