1 Answer

Elben Shira · Answer 1 · 2022-06-28T07:15:37+0000

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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