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A green flag costs 10 times the price of a blue flag. A red flag costs half as much as a green flag. An orange flag costs \$10 less than a red flag. If all four different colors of flags cost a total of \$200, what is the cost of the orange flag?

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closed as off-topic by vadim123, barak manos, kjetil b halvorsen, PVAL-inactive, 6005 Jun 22 '15 at 16:44

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Let denote the prices of the flags as g (green), r(red), o(orange) and b(blue).

Then the equations are:

$g=10b$

$g=2r$

$o+10=r$

$o+r+b+g=200$

It is compehensible ? Can you solve this linear equation system ?

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Let cost of Blue Flag be $x$ .Cost of green flag is $10x$ .Cost of red flag is $5x$.Cost of orange flag is $5x - 10$ ...

I hope you can think little bit here on what to do next ..

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