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In a class of 70 students, every student likes volleyball or football or cricket. If the ratio of students who like (volleyball or football) and only cricket is 6:1, find the number of students who like volleyball or football.

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Final answer:

To find the number of students who like volleyball or football in a class of 70, we need to calculate the number of students who like both volleyball and football. Given that the ratio of students who like (volleyball or football) and only cricket is 6:1, we can use this information to solve the problem.

Step-by-step explanation:

To find the number of students who like volleyball or football, we need to first calculate the number of students who like both volleyball and football. Let's denote this as x. The ratio of students who like (volleyball or football) and only cricket is given as 6:1. This means that for every 6 students who like (volleyball or football) and only cricket, there is 1 student who likes both volleyball and football.

Since we have a total of 70 students, we can express this information as:
No. of students who like (volleyball or football) and only cricket = 1/7 * 70 = 10.
Now, we can find the number of students who like volleyball or football by subtracting the number of students who like both volleyball and football from the total number of students who like (volleyball or football).
No. of students who like volleyball or football = 70 - 10 = 60.

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