Question

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

a. There are 9 violas. write a proportion that gives the number t of trombones in the orchestra.
b. How many trombones are in the orchestra? Please help, I'm in 8th grade! (:Thank youu..

Answer 1

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.

Answer 2

Givens

• The ratio of trombones to violas is 1 to 3, that is, for every trombone there are 3 violas.
  `(t)/(v)=(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.

`(t)/(9)=(1)/(3)\\t=(9)/(3)\\ t=3`

The expression that gives the number of trombones is

`(t)/(9)=(1)/(3)`

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