Math Word Problem Help

[notsowisetooth]

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A Horse and a carriage cost $5,000 together. By Selling the horse at a 10% profit and the carriage at an 80% loss, a total profit of 1% is made. What is the cost of the horse?


The answer is 4,500$, but im not convinced

 

[UCB05]

x=carriage cost, y=horse cost, x+y=5000, x= 5000-y

Given in question: 1.1y + 0.2x = 5050 (=cost plus 1% profit)
1.1y = 5050 - 0.2x
substitute for x : 1.1y = 5050 - 0.2(5000-y)= 5050 - 1000 + 0.2Y
0.9y = 4050, y = 4500