Question

A total of 80,000 is to be distributed among 200 persons as prizes. A prize is either of 500
100. Find the number of each prize.​

Answer 1

Answer:

Let no. of 500 prizes be x.

no. of 100 prizes =200-x

Then,

$500x + 100(200 - x) = 80000 \\ 500x + 20000 - 100x = 80000 \\ 500x - 100x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 80000 - 20000 \\ 400x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 60000 \\ x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{60000}{400} \\ x = 150$

no. of 500 prizes=150

no. of 200 prizes=200-150=50

Answer 2

Answer:

₹500 was guven to 150 person and ₹100 was given to 150 - 200 = 50 people

Step-by-step explanation:

Explanation in the attachment