# The ratio of the number of students in three classes P, Q, and R is 4 : 7 : 5. If seventeen students are transferred from R to Q then Q will have 80 s

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The ratio of the number of students in three classes P, Q, and R is 4 : 7 : 5. If seventeen students are transferred from R to Q then Q will have 80 students. What is the total number of students in three classes?
1. 144
2. 155
3. 166
4. 177

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Correct Answer - Option 1 : 144

Given:

The ratio of the number of students in three classes is 4 : 7 : 5

Calculation:

Let be assume students in P, Q, and R is 4x, 7x, and 5x respectively.

⇒ 7x + 17 = 80

⇒ x = 9

⇒ The total number of students in all three classes = 9 × (4 + 7 + 5) = 144

∴ The required result will be 144.