The mean amount of water in 5 containers is 620 ml the total amount of water in 4 q of the containers is 2750 what is the amount of water in the fifth container

Respuesta :

The correct answer is:

350 ml.

Explanation:

Let x be the amount in the fifth container.

The mean is found by adding all of the amounts together and dividing by the number of containers (in this problem, 5). We know that the total from the other 4 containers is 2750; add this to x, our unknown number. Then we divide by 5 to arrive at our answer of 620.

Algebraically,
[tex]\frac{2750+x}{5}=620[/tex]

To solve, multiply both sides by 5:
[tex]\frac{2750+x}{5}\times 5=620\times 5 \\ \\2750+x=3100[/tex]

Subtract 2750 from both sides:
 2750+x-2750=3100-2750
x=350.

There are 350 ml in the fifth container.

Answer:

350 ml

Step-by-step explanation:

The mean water in five containers = 620 ml

Mean of five container = total water in five container /5 = 620 ml

Total water in five container = (620 ml x 5)  

= 3100 ml

Container 1 + Container 2 + Container 3+ Container 4+ Container 5 = 3100 ml--------------Equation (1)

Water in four containers = 2750 ml  

This means ,  

Water in four containers = Container 1 + Container 2 + Container 3+ Container 4 = 2750 ml

Substituting this in equation 1, we get  

2750 ml + Container 5 = 3100 ml

Container 5 = 3100 ml -2750 ml

= 350 ml,  

Thus , water in fifth container = 350 ml.