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Olegator [25]
3 years ago
5

The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what

is the combined number of cellists and violinists?
Mathematics
1 answer:
Papessa [141]3 years ago
5 0

Given:

Violinists : Cellists = 7:3.

Number of violinists in the school orchestra = 21

To find:

The combined number of cellists and violinists.

Solution:

Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.

Then, combined number of cellists and violinists is

\text{Combined number of cellists and violinists}=7x+3x

\text{Combined number of cellists and violinists}=10x      ...(i)

Number of violinists in the school orchestra = 21

7x=21

Divide both sides by 7.

x=3

Now, the combined number of cellists and violinists is

\text{Combined number of cellists and violinists}=10(3)    [Using (i)]

\text{Combined number of cellists and violinists}=30

Therefore, the combined number of cellists and violinists is 30.

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