Question

a sum of rs. 700 is to be used to give cash prizes to 5 students of a school on the basis of their overall academic performance, regularity, creativity, confidence, and cleanliness.a child having one value is given a fixed amount. a child having 2 or more values is given rs. 20 more for each additional value. find the maximum number of students who can be awarded. find the value of each cash prize for having only one value, two values, and so on. according to you, is there any other value which should be awarded? how is rewarding the values helpful?​

Answer 1

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A sum of Rs. 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs. 20 less than its preceding prize, find the value of each prize.

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ANSWER

Let the value of the prices be

x,x−20,x−40, .....

This is an arithmetic sequence with first term (a)=xand common difference (d)=−20.

Given,

S

n

= 700

Sn =begin mathsize 12px style straight n over 2 end style [2a + (n - 1)d]

Thus, the values of the prizes are Rs. 160,Rs.140,Rs.120,Rs.100, Rs.80,Rs,60,andRs.40.