Question

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

Answer 1

Answer:

The number of people who receive the 500 Rs prize is 150 persons, and the number of people who receive the 100 Rs prize is 50 persons.

Step-by-step explanation:

It is given that the number of people who receive prizes is 200, and the total amount of money is 80,000 Rs.

Let n be the number of people who receive the 500 Rs prize.

Let (200-n) be the number of people who receive the 100 Rs prize.

Therefore, 500n + 100(200-n) = 80000

5n + 200-n = 800

4 N = 600

N = 150

Therefore, the number of people who receive the 500 Rs prize is 150, and the number of people who receive the 100 Rs prize is 50.

Answer 2

Answer:

150 Rs 500-prize and 50 Rs 100-prize

Step-by-step explanation:

Define x:

Let the number of people who got Rs 500 be x

The number of people who got Rs 100 is (200 - x)

Solve x:

The total amount is Rs 80,000

500x + 100(200 - x) = 80000

500x + 20,000 - 100x = 80000

400x = 60,000

x = 150

Find the number of each prize:

Rs 500 = x = 150

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

Answer: There are 150 Rs 500-prize and 50 Rs 100-prize