In a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the acti
vities, 20 liked music only and 15 liked none of the activities .
i)find the total number of students in group
1 answer:
Answer:
Hello,
Total number : 70
Step-by-step explanation:
20 + 25 = 45
45 liked music
X liked sport only
X + 25 liked sport
45 / 9 = (X + 25) / 7 ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10
10 liked sport only
Total students in group : 45 + 10 + 15 = 70
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Round 46 to the nearest ten, which in this case would be 50 because the last number is larger than a 5.
Then add the 1 back in to make it 150.
