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GMAT
GMAT Quantitative Section

Auction Revenue Calculation

Very Hard Problem Solving Arithmetic

During a charity auction, there are three types of items being sold: paintings, sculptures, and vintage cars. Each painting sells for $P$ dollars, each sculpture sells for $S$ dollars, and each vintage car sells for $C$ dollars. The auctioneer reports that:

1. The total revenue from selling 5 paintings, 3 sculptures, and 2 vintage cars is $R$ dollars.

2. The total revenue from selling 10 paintings, 4 sculptures, and 3 vintage cars is $R + 1500$ dollars.

If the value of $P + S + C = 500$ dollars, what is the value of $R$?

Hint

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