Question

the total of rupees 80000 is to be distributed among 200 persons as prizes. A prize is either of rupees 500 or rupees 100 find the number of each prize.

Answer 1

Total = Rs 80,000

Number of prizes = 200

Define x:

let x be the number of Rs 500 prizes

The number of Rs 100 prizes will be (200 - x)

Form equation and solve x:

500x + 100(200 - x) = 80000

500x + 20000 - 100x = 80000

400x = 60000

x = 150

Find the number of each prize:

Number of Rs 500 = x = 150

Number of Rs 100 = 200 - x = 200 - 150 = 50

Answer: There are 50 Rs100 and 150 Rs500

Answer 2

here is your answer OK

(2) Let the number of Rs 100 price be y

Then the number of Rs 500 price = 100 – y



Given : Rs 2000 is distributed as prizes

⇒ 100y + 500 ( 100 – y) = 20000

⇒ y + 5 ( 100 – y) = 200

⇒ y + 500 – 5y = 200

⇒ y – 5y = 200 – 500

⇒ – 4y = – 300

⇒ y = = 75



∴ The number of Rs 100 price is 75 and the number of Rs 500 prize is ( 100 – 75) = 25





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