College P has 180 students scoring average marks of 88 and college Q has 320 students scoring average marks of 72. Find the average marks of both the colleges together.

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College P has 180 students scoring average marks of 88 and college Q has 320 students scoring average marks of 72. Find the average marks of both the colleges together.

A82.00

B75.25

C77.76

D80.00

Answer:

C. 77.76

Read Explanation:

Solution:

Calculation:

Total marks of college P is 180 × 88 = 15840

Total marks of college Q is 320 × 72 = 23040

Total number of students is 320 + 180 = 500

Average will be , $\frac{23040+15840}{500}=77.76$

The correct option is 3

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