A sum of $700 is to be used to give seven cash prizes to students of a school for their over all academic performance. if each prizes is$20 less than it's preceding prize, find the value of each of the prizes?
Answers
SOLUTION:
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We can proceed on this question by assuming for the last recipient or the first recipient of his or her share. Here we begin by the first recipient.
Let the first recipent student gets $ x
Second student would get ($x - 20)
Following the same pattern the share of all the seven students would bee as -
x , (x-20) , (x -40) , (x-60) , (x-80) , (x-100) , (x-120)
Now adding all we get the total sum = 7x - 420
Also the total sum = 700
So, ACQ
7x - 420 = 700
7x = 700 + 420
7x = 1120
x = 1120/7
x = 160
So, the first recipient gets $160
The value of each prize is given below
x = $ 160
(x-20) = $ 140
(x -40) = $ 120
(x-60) = $ 100
(x-80) = $ 80
(x-100) = $ 60
(x-120) = $ 40
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