A sum of RS 3750 is to give ten cash prizes to the students for their overall academic performance.if each prize is RS 50 less than it's preceding prize.find the value of each prize
Answers
Answered by
2
3750_50=3700 .So we must subtract the given number with 50 ok
Answered by
8
Answer:
Step-by-step explanation:
Let the first student be given Rs
x.
Then x + (x - 50) + (x - 100) + (x
- 150) + (x - 200) + (x - 250) + (x - 300) + (x - 350) + (x - 400) + (x - 450)
= 3750
=> 10x - 50 - 100 - 150 - 200 -
250 - 300 - 350 - 400 - 450 = 3750
=> 10x - 2250 = 3750
=> 10x = 3750 + 2250
=> 10x = 6000
=> x = 600
Therefore,
x - 50 = 600 - 50 = 550
x - 100 = 600 - 100 = 500
x - 150 = 600 - 150 = 450
x - 200 = 600 - 200 = 400
x - 250 = 600 - 250 = 350
x - 300 = 600 - 300 = 300
x - 350 = 600 - 350 = 250
x - 300 = 600 - 400 = 200
x - 350 = 600 - 450 = 150
Therefore, the values of each prize are 600, 550, 500, 450, 400, 350, 300, 250, 200 and 150.
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