3 apples have a mean mass of 100 grams ,the largest apple is removed , the mean mass of the remaining two apples is 70 grams,what is the mass of the largest apple?

Respuesta :

Answer:

30 grams

Step-by-step explanation:

if you subtract 70 from 100 you get 30.

Answer:

160 gm

Step-by-step explanation:

Mean = [tex]\frac{\text{Sum of masses of apples}}{\text{No. of apples}}[/tex]

100 = [tex]\frac{\text{Sum of masses of apples}}{3}[/tex]

[tex]100 \times 3 = \text{Sum of masses of apples}[/tex]

[tex]300 = \text{Sum of masses of apples}[/tex]

So, the mass of 3 apples is 300 gm.

Now we are given that the largest apple is removed , the mean mass of the remaining two apples is 70 grams

[tex]\text{Mean mass of two apples}=\frac{\text{Sum of masses of two remaining apples}}{\text{No. of apples}}[/tex]

[tex]70=\frac{\text{Sum of masses of two remaining apples}}{2}[/tex]

[tex]70 \times 2=\frac{\text{Sum of masses of two remaining apples}}{2}[/tex]

[tex]140=\text{Sum of masses of two remaining apples}[/tex]

So, mass of two apples is 140 gm

Total mass of 3 apples = 300 gm

So, mass of largest apple = 300 - 140 = 160 grams.

Hence the mass of the largest apple is 160 gm