Question

The orchestra has 12 violins, 6 flutes, and 18 clarinets. Write the ratio of flutes to total instruments. Simplify your answer.(1 point)
Responses

1:6
1:6

36:6
36:6

6:1
6:1

6:36
6:36

Answer 1

To find the ratio of flutes to total instruments in the orchestra, first we need to calculate the total number of instruments:

- Number of violins: 12
- Number of flutes: 6
- Number of clarinets: 18

Total instruments = 12 (violins) + 6 (flutes) + 18 (clarinets) = 36 instruments.

Now, we find the ratio of flutes to total instruments:

Ratio of flutes to total instruments = Number of flutes : Total instruments = 6 : 36.

To simplify this ratio, we divide both sides by 6:

6 ÷ 6 : 36 ÷ 6 = 1 : 6.

So, the simplified ratio of flutes to total instruments is **1:6**.