Question

A Sum of rs 3000 is to be given in the form of 63 prizes. if the prize money is either rs 100 or rs 25 find the number of prizes of each type.

Answer 1

100x+25y=3000
X+y=63
Solve for x and y and get resylt

Answer 2

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Given the sum of prizes money = 3000

➡ Total number of prizes = 63

➡ number of prizes cost = 100x

➡ number of prize of cost = 25

will be 63 - x

From the problem we can write

=> x × 100 (63 - x) 25 = 3000

=> 100x + 1575 - 25x = 3000

(transporting) 1575 on L.H.S to R.S.H

we get

=> 100x - 25x = 3000 - 1575

=> 75x = 1425

=> x = 1425÷ 75

=> x = 19

number of 100 prizes = 19

number of 25 prizes = 63 - 19

➡ answer = 44