Asked by Wasiu
                In a fund  raising lottery,42% of the money collected is given as cash prizes.There are 8 cash prizes altogether.The first prize winner get #3500, the 2nd get #3100, the 3rd get #2700 and so on in arithmetical progression.
Required
(a)how much money does the 8th person get?
(b)how much prize money is there altogether?
(c)how much money was raised for the fund?
            
        Required
(a)how much money does the 8th person get?
(b)how much prize money is there altogether?
(c)how much money was raised for the fund?
Answers
                    Answered by
            mathhelper
            
    Your AP is such that a = 3500, d = -400
Person(8) = term(8) = a + 7d = 3500 + 7(-400) = 700
b) the 9th person would get 300, making that the last prize.
so total prize money is the sum of 9 terms
= (9/2)(first + last) = (9/2)(3500 + 300) = 17100
c) this represents 42% of the total raised
so .42x = 17100
x = 17100/.42 = ...
    
Person(8) = term(8) = a + 7d = 3500 + 7(-400) = 700
b) the 9th person would get 300, making that the last prize.
so total prize money is the sum of 9 terms
= (9/2)(first + last) = (9/2)(3500 + 300) = 17100
c) this represents 42% of the total raised
so .42x = 17100
x = 17100/.42 = ...
                    Answered by
            Ibrahim aisha 
            
    Very good 
    
                    Answered by
            Ibrahim aisha 
            
    Nice
    
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.