Can someone help me with this math qns..please tell me the steps to solving the ans too..thx?

Rose Park has 3/4 as many trees as Tulip Parl. The ratio of the number of trees in Orchid Park to the number of trees in Rose Park is 4:5. tulip Park has 200 more trees than Orchid Park. How many trees are there in Orchid Park What is the total number of trees that have to be added to Orchid Park and Rose Park so that both have the same number as Tulip Park

Can someone help me with this math qns..please tell me the steps to solving the ans too..thx?
R: no. of trees in Rose park


T: no. of trees in tulip park


P: no. of tress in orchid park





R = (3/4)T





P = (4/5)R





T - R = 200





T - (3/4)T = 200





(1/4)T = 200





T = 800





R = (3/4)T = (3/4) * 800 = 600





P = (4/5)R = (4/5)*600 = 480





no. of trees to be added to rose park = 800 - 600 = 200





no. of trees to be added to orchid park = 800 - 480 = 320





Total no of trees to be added = 200 + 320 = 520
Reply:let x be the number of trees in Rose Park.


let y be the number of trees in Tulip Park.


let z be the number of trees in Orchid Park.





from first sentence: x = (3/4)y --- (1)


from second sentence: z = (4/5)x --- (2)


from third sentence: y - 200 = z --- (3)





substitute (1) and (2) into (3):


(4/3)x - 200 = (4/5)x


(8/15)x = 200


x = 375





therefore, y = 500 and z = 300





total number of trees to be added


= (y - z) + (y - x)


= (500 - 300) + (500-375)


=200 + 125


=325