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
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.
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 ?
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
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.
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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