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

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

Verified Answer :

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:

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.

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