The Great PumpkinPro Problems > Math > Algebra > Equations > Word Problems > Linear > Mixtures
The Great Pumpkin
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?
A fruit basket contains apples, oranges, and bananas. There are four more apples than oranges, and twice as many bananas as oranges. After I ate two oranges and four bananas, one fifth of the fruit remaining was oranges. If I then ate two apples and three bananas, what percent of the fruit basket would be apples?
I start with 10 quarts of a 10% solution of antifreeze. How much pure (100%) antifreeze do I need to add to end up with a 20% solution?
Ants, Spiders and Dogs
Ants have six legs, spiders have eight legs, and dogs have four legs. There are 37 ants, spiders, and dogs in a room, and they have a total of 208 legs. There are four more dogs than ants. How many spiders are there?