The Fruit Market

Algebra Level pending

Every month, I journey to the fruit market to buy myself some fruits. Today, a vendor is selling some kumquats, limes, pomelos, and blood oranges. Those happen to be my favorite citruses. But I am confused. "Where are the prices?" I ask. The vendor simply shows me four equations on a piece of cardboard. Let k k denote kumquats, l l denote limes, p p denote pomelos, and b b denote blood oranges. I want to buy one of each citrus. How much should I pay the vendor?

( 2 p 2p + 3 b 3b + 4 l 4l + 5 k 5k ) = 94 \boxed{94}

( p p + 6 b 6b + 2 l 2l + 4 k 4k ) = 92 \boxed{92}

( 4 p 4p + 3 b 3b + l l + 3 k 3k ) = 101 \boxed{101}

( 2 p 2p + 3 b 3b + 8 l 8l + 4 k 4k ) = 100 \boxed{100}


The answer is 31.

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