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In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively. If the total prize money is ₹ 52,000 then show that:

The solution of the equation is ______.

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#### Solution

The solution of the equation is **22**.

**Explanation:**

Given, the number of prizes = 30

Total prize money = ₹ 52000, 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively.

From (c), 1000x + 30000 = 52000

⇒ 1000x = 52000 – 30000 = 22000

⇒ x = `22000/1000` = 22

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