x = number of Php20 notes
y = number of Php50 notes
x + y = 32
y = 32 - x
Equation:
20x + 50y = 1,000
20x + 50 (32 - x) = 1,000
20x - 50x + 1,600 = 1,000
-30x = 1,000 - 1,600
-30x/-30 = -600/-30
x = 20
Number of pieces of each note:
Php20; x = 20 pieces
Php50 = 32-x = 32-20 = 12 pieces
ANSWER: There are 20 pieces of Php20 and 12 pieces of Php50.
Check:
Php20 (20) + Php50 (12) = Php 1,000
Php400 + Php600 = Php1,000
Php1,000 = Php1,000