Peter and John had some money. If Peter gave John $360, both would have an equal amount of money. If John gave Peter $180, John would have 1/3 as much money as Peter. How much money did Peter have at first?
Peter and John had some money. If Peter gave John $360, both would have an equal amount of money. If John gave Peter $180, John would have 1/3 as much money as Peter. How much money did Peter have at first?
(1)P−360=J+360J=P−720(2)13(P+180)=J−180|J=P−72013(P+180)=P−720−18013(P+180)=P−900P3+60=P−900P−P3=96023P=960P=32⋅960P=1440
Peter and John had some money. If Peter gave John $360, both would have an equal amount of money. If John gave Peter $180, John would have 1/3 as much money as Peter. How much money did Peter have at first?
(1)P−360=J+360J=P−720(2)13(P+180)=J−180|J=P−72013(P+180)=P−720−18013(P+180)=P−900P3+60=P−900P−P3=96023P=960P=32⋅960P=1440