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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. -

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Question

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 total value of prizes in terms of x are ______.

Fill in the Blanks

Solution

The total value of prizes in terms of x are 2000x + 1000(30 – x).

Explanation:

Given, the number of prizes = 30

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

Total value of prizes in terms of x are 2000x + 1000(30 – x).

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