Math
posted by Neel on .
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb of apples?
Megan purchased a bushel of apples from the Farmers Market that contained only large and small apples. There were exactly 129 apples in the bushel Megan purchased. Based on this and information from the previous problem, what is the positive difference between the number of large apples and the number of small apples in the bushel of apples Megan purchased?

since twice as many small apples fit, 2*84=168 small apples fit in a bushel.
one way to look at it is that if each large apple is replaced by two small apples, then since 129 is 84+45, there are 45 extra apples in the basket. So, 45 of the large apples were replaced by small apples, making
8445 = 39 large apples and
90 small apples. 
164