28.02.2021

1. 37.8 x 14 = x 14 - 2.9 x 14 2. The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?
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09.07.2023, solved by verified expert
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Step by step explanation:

Given: The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?

Find out: how many students were there in the class room after one student left

Solution: Let the total number of remaining student be= n

Let the total number of remaining student be= nAnd the sum of mass of all the students be = x kg

So,

1. 37.8 x 14 = x 14 - 2.9 x 14 2. The average, №18010483, 28.02.2021 06:16

Make x the subject of formula

1. 37.8 x 14 = x 14 - 2.9 x 14 2. The average, №18010483, 28.02.2021 06:16

And

1. 37.8 x 14 = x 14 - 2.9 x 14 2. The average, №18010483, 28.02.2021 06:16

1. 37.8 x 14 = x 14 - 2.9 x 14 2. The average, №18010483, 28.02.2021 06:16

1. 37.8 x 14 = x 14 - 2.9 x 14 2. The average, №18010483, 28.02.2021 06:16

1. 37.8 x 14 = x 14 - 2.9 x 14 2. The average, №18010483, 28.02.2021 06:16

1. 37.8 x 14 = x 14 - 2.9 x 14 2. The average, №18010483, 28.02.2021 06:16

divide both side by n

1. 37.8 x 14 = x 14 - 2.9 x 14 2. The average, №18010483, 28.02.2021 06:16

N = 2.333

so total number of students remaining is 2

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Mathematics
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2

Step by step explanation:

Given: The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?

Find out: how many students were there in the class room after one student left

Solution: Let the total number of remaining student be= n

Let the total number of remaining student be= nAnd the sum of mass of all the students be = x kg

So,

\frac{x}{n + 1}  = 35.1

Make x the subject of formula

--› \: x = 35.1(n + 1)

And

--› \:  \frac{x - 32.3}{n}  = 36.3

--›x - 32.3= 36.3n

--› \: 35.1(n + 1) - 32.3 = 36.3n

--› \: 35.1n + 35.1 - 32.3 = 36.3n

--› \: 2.8 = 1.2n

divide both side by n

n =  \frac{2.8}{1.2}

N = 2.333

so total number of students remaining is 2

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The solution is given in the image below

The solution is given in the image below

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