Germaine uses the four letters A, B, C and D to form a pattern. The first 18 letters are shown below. Find the ratio of the number of letter A to the number of letter C for the first 25 letters.​

A B A C D D A B A B A C D D A B A B

Respuesta :

Answer:

8:3

Step-by-step explanation:

To find the ratio of the number of letter A to the number of letter C for the first 25 letters, we need to count the number of A’s and C’s in the first 25 letters. Since we only have 18 letters, we need to extend the pattern to the first 25 letters. The pattern repeats every 4 letters, so we can extend the pattern as follows:

( bold letters are the added letters)

A B A C D D A B A B A C D D A B A B A C D

Now we can count the number of A’s and C’s in the first 25 letters:

Number of A’s in the first 25 letters: 8

Number of C’s in the first 25 letters: 3

The ratio of the number of letter A to the number of letter C for the first 25 letters is therefore 8:3. You can also write this ratio as 8/3. This means that there are approximately 2.66 times as many letter A’s as there are letter C’s in the first 25 letters.

ACCESS MORE
EDU ACCESS
Universidad de Mexico