Math, asked by Manesika, 1 year ago

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

Answers

Answered by kvnmurty

456

Let us say we have given prizes of Rs 500 to N persons and Rs 100 prizes to (200-N) persons. The total amount is,

Rs 80,000 = Rs 500 N + (200 - N) Rs 100
800 = 5 N + 200 - N = 4 N + 200

4 N = 600
N = 150

So the prizes of Rs 500 are given to 150 persons and the prizes of Rs 100 are given to 50 persons.

Manesika: Thank you for your answer, but I didn't understand the second step of cutting the zeroes. So , can you kindly elaborate ?

kvnmurty: 80000 = 500 N + (200-N)100 => 800 * 100 = 5N * 100 + (200-N) 100 => divide by 100, we get 800 = 5N * 100/100 + (200-N)*100/100. It is same as striking of 100 from all terms or dividing by 100.

Answered by Mrigank09

350

Let the give prizes of rs 500 to x person
and rs 100 prizes to (200-x) person

the number of each prizes =

80000=500 X x +(200-x)100
80000= 500x+ 20000 - 100x
80000-20000=500x-100x
60000=400x
60000÷400=x
150=x

So, Rs 500 was given to 150person and Rs 100 was given to 50 person.

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