In a quiz, 40 prizes consisting of 1st and 2nd prizes only are to be given 1st and - Maths - Arithmetic Progressions

Question

In a quiz, 40 prizes consisting of 1st and 2nd prizes only are to
be given 1st and 2nd prizes are worth Rs 2500 and Rs 15200,
respectively If the total prize money is Rs 85000, then
(i) The equation formed is :
(ii) The number of 1st prizes are :
(iii) The number of 2nd prizes are :

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:

Let the number of 1st prizes be x andthe number of 2nd prizes be yA
T Q x+y=40       
i2500x+15200y=85000⇒25x+152y=850     
iiSubtracting ii from 25×i, we get-127y=150⇒y=-150127, which is not possible as y should be some natural number
And x=5230127, which is not possible as x should be a natural number
Note: Please check the values given in the question

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In a quiz, 40 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth Rs. 2500 and Rs. 15200, respectively. If the total prize money is Rs. 85000, then (i) The equation formed is : (ii) The number of 1st prizes are : (iii) The number of 2nd prizes are :

In a quiz, 40 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth Rs. 2500 and Rs. 15200, respectively. If the total prize money is Rs. 85000, then
(i) The equation formed is :
(ii) The number of 1st prizes are :
(iii) The number of 2nd prizes are :