A piano has a ratio of 4 black keys for every 10 white keys. Write a ratio to represent the ratio of white keys to black keys.

A. [tex]\frac{10}{4}[/tex]
B. 10:4
C. 10 to 4



Answer :

To determine the ratio of white keys to black keys on a piano, we start with the given ratio:

[tex]\[ \frac{\text{Black keys}}{\text{White keys}} = \frac{4}{10} \][/tex]

This ratio tells us that for every 4 black keys, there are 10 white keys.

To find the ratio of white keys to black keys, we simply invert this original ratio. Here are the steps:

1. The original ratio is [tex]\[ \frac{4}{10} \][/tex]

2. Inverting the ratio, we get [tex]\[ \frac{10}{4} \][/tex]

This inverted ratio, [tex]\(\frac{10}{4}\)[/tex], indicates that for every 10 white keys, there are 4 black keys.

In terms of expressing this ratio, we can write it in different forms:

1. As a fraction: [tex]\(\frac{10}{4}\)[/tex]
2. Using a colon: [tex]\(10:4\)[/tex]
3. In words: [tex]\(10 \text{ to } 4\)[/tex]

Thus, the ratio of white keys to black keys on the piano is [tex]\(10:4\)[/tex].