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x + y = 25 (1) (counting coins)
5x + 1y = 53 (2) (counting money)
Subtract equation (1) from equation (2) and solve for x
4x = 53 - 25 = 28
x = 28/4 = 7.
ANSWER. 7 5-peso coins and the rest, 25-7 = 18 1-peso coins.
CHECK. 7*5 + 18*1 = 35 + 18 = 53 Php. ! Precisely correct !
Solved.