Answer:
$100 prize = 15, $25 prize = 48
Step-by-step explanation:
Let,
$100 prize = x
$25 prize = y
=> x + y = 63 (1)
=> 100x + 25y = 2700 (2)
=> 100x/25 + 25y/25 = 2700/25
=> 4x + y = 108 (3)
On subtracting 2 and 3
=> 4x + y - (x + y) = 108 - 63
=> 4x + y - x - y = 45
=> 3x = 45
=> x = 15
=> 15 + y = 63
=> y = 63 - 15
=> y = 48
Answer:
Step-by-step explanation:
Let x represent the number of higher-value ($100) prizes. Then (63-x) is the number of $25 prizes. The total value of the prizes is ...
100x +25(63 -x) = 2700
75x = 1125 . . . . . . . . . subtract 1575 and simplify
x = 15 . . . . . . . . . divide by 75; number of $100 prizes
63-x = 63 -15 = 48 . . . . number of $25 prizes
There are 15 $100 prizes and 48 $25 prizes.
