Question

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Answer 1

Q 5) No. of boys = 20

Answer:

Q 6) Total time taken to answer both the quizzes = 90 minutes

Step-by-step explanation:

Q 5.

Let the number of boys = x

Therefore, number of girls = x - 5

Since,

No. of boys + No. of girls = 35

hence,

x + x- 5 = 35

2x-5 = 35

2x = 35 + 5

2x = 40

x = 40/2

x = 20

Hence 20 boys participated in the activity.

Let the time taken to answer history quiz= x min

Therefore, time taken to answer geography quiz = (x + 30) min

According to the given information:

x = 1/2(x + 30)

2x = x + 30

2x - x = 30

x = 30 min

Hence, x + 30 = 30 + 30 = 60 min

Total time taken to answer both the quizzes = 30 + 60 = 90 minutes