Question

a sum of 1600 is to be used to give 10 cash prizes to stoudent of a school for their overall academic performance. if each price is Rr20 less than its preceding price find the value of each of the prize

Answer 1

$x + x - 20 + x - 40 + x - 60 + x - 80 + x - 100 + x - 120 + x - 140 + x - 160 + x - 180 = 1600$
$10x - 900 = 1600 \\ 10x = 1600 + 900 \\ 10x = 2500 \\ x = \frac{2500}{10} \\ x = 250$
So, the maximum value of prize is 250 and minimum value is 70