Aphilanthropist gave ₱3,000,000 to two orphanage and a health institution. the two orphanages received equal amount twice that of the health institution. how much did each receive?

Two orphanage = ₱2,400,000

Health institution = ₱600,000

₱3,000,000

Two orphanage = 2(2x)

Health institution = x

Two orphanage + Health institution = ₱3,000,000

2(2x) + x = ₱3,000,000

4x + x = ₱3,000,000

5x = ₱3,000,000

x = ₱600,000

Substitute ₱600,000 to x:

Two orphanage = 2(2( ₱600,000 ))

Two orphanage = 2( ₱1,200,000 )

Two orphanage = ₱2,400,000

Health institution = x

Health institution = ₱600,000

1,200,000 for the orphaneges and 600,000 for the health institution