Question

A sum of $2700 is to be given in the form of 63 prizes.if the price is of either $100 or $25,find the number of prizes of each type.

Answer 1

Answer:

$ 100 = 15

$ 25 = 48

Explanation:

Let the x be the $ 100.

Let the y be the $ 25.

Total Money = $ 2700

Total Prizes = 63

Then,

x + y = 63

100x + 25y = $ 2700

So,

(100x + 25y) = 2700

=> (4x + y) = 108

(x + y) = 63

Then,

( 4x + y ) - ( x + y )

=> 3x = 45

=> x = 15

So,

Ans : x => 15 ,

y => 15 + y = 63

=> y = 48