need help with 1 more math problem

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A green flag costs ten times the price of a blue flag. A red flag costs half the price of a green flag. An orange flag costs ten dollars less than a red flag. If the four different color flags cost a total of 200 dollars, what is the price of an orange flag?

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blue flag = x
green flag= 10x
red flag = 5x (10x/2)
orange flag = 5x-10
total = 200

so....

x +10x + 5x + 5x - 10 = 200
21x - 10 = 200
21x = 210
x = 10

so blue flag = x = 10
orange flag = 5x - 10 = 5*10 -10 = 50 - 10 = 40
 
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