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3 years ago

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There are 40 students at Bali high who play stringed instruments. Of these, 1/4 play viola, 1/5 play cello, and the rest play vi

olin. How many students play violin?

2 answers:

11Alexandr11 [23.1K]3 years ago

6 0

Answer:

22 students

Step-by-step explanation:

Given,

Total number of students = 40,

∵ Number of students who play viola = $\frac{1}{4}$ of the total students

= $\frac{1}{4}\times 40$

= 10

Also, number of students who play cello = $\frac{1}{5}$ of the total students

= $\frac{1}{5}\times 40$

= 8

So, the remaining students = total students - students who play viola - students who play cello

= 40 - 10 - 8

= 22

Hence, 22 students play violin.

Rus_ich [418]3 years ago

5 0

22 play violin.
1/5 * 40 = 8
1/4 * 40 = 10
8+10=18
40-18=22

22!

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Step-by-step explanation:

<h3>1.</h3>

Let $d$ denote the common difference of the arithmetic sequence.

Let $a_1$ denote the first term of the arithmetic sequence. The expression for the $n$ th term of this sequence (where $n\!$ is a positive whole number) would be $(a_1 + (n - 1)\, d)$ .

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The common ratio of a geometric sequence is ratio between consecutive terms of that sequence. Let $r$ denote the ratio of the geometric sequence in this question.

Ratio between the second term and the first term of the geometric sequence:

$\displaystyle r = \frac{1 + 2\, d}{1} = 1 + 2\, d$ .

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$\displaystyle r = \frac{1 + 12\, d}{1 + 2\, d}$ .

Both $(1 + 2\, d)$ and $\left(\displaystyle \frac{1 + 12\, d}{1 + 2\, d}\right)$ are expressions for $r$ , the common ratio of this geometric sequence. Hence, equate these two expressions and solve for $d$ , the common difference of this arithmetic sequence.

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