Question

In an orchestra the ratio of trombones to violas is 1 to 3.

Answer 1

Answer:

Givens

• The ratio of trombones to violas is 1 to 3, that is, for every trombone there are 3 violas. $\frac{t}{v}=\frac{1}{3}$

So, if there are 9 violas, the number of trombones is three, because 9 violas represents a triple proportion, which means we need to multiply by 3 to find the number of trombones according to the given proportion.

$\frac{t}{9}=\frac{1}{3}\\t=\frac{9}{3}\\ t=3$

The expression that gives the number of trombones is

$\frac{t}{9}=\frac{1}{3}$

The number of trombones is 3, there are 3 trombones while there are 9 violas.

Answer 2

The proportion would be 1/3 and x/9. Cross multiplication creates 3x=9. Divide both sided by three, and there are 3 trombones in the orchestra.