# Filling Jugs

Pro Problems > Math > Algebra > Equations > Word Problems > Linear > Mixtures## Filling Jugs

## Solution

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While Linus is sitting in his pumpkin patch waiting for the arrival of The Great Pumpkin, he begins counting his pumpkins. He notices that one third of his pumpkins are small pumpkins, and two thirds are large. He picked 24 small pumpkins and 4 large pumpkins, and a quarter of his remaining pumpkins were small. How many were there in the patch originally?

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Andy, Bertha and Chris each have a deck of 52 cards. They all have some cards face up and some cards face down. The number of cards Andy has face up is ten more than the number of cards Bertha has face down. The number of cards Bertha has face up is twice the number of cards Chris has face down. The total number of face-up cards is 99. How many cards does Andy have face up?