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 activities, 20 liked music only and 15 liked none of the activities.

i) find the total number of students in group

Question

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Mathematics

15 May, 09:39

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 activities, 20 liked music only and 15 liked none of the activities.

i) find the total number of students in group

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Answers (1)

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Shania King · Answer 1

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

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 activities, 20 liked music only and 15 liked none of the activities.i) find the total number of students in group

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 activities, 20 liked music only and 15 liked none of the activities.

i) find the total number of students in group