A bowl contains many kinds of fruit. In the bowl there are twice as many apples then there are bananas, and three times as many oranges as bananas. If the total number of pieces of fruit is X, then how many apples are in the bowl as a fraction of X
Choices
A) X/2 B) X/3 C) 2*X D) X/6 E) X/4
Since X is the total number of fruit: X = apples + bananas + oranges.   Since there are three times as many oranges as bananas then 1*orange = 3*bananas   Thus X = apples + bananas + (3*bananas); which simplifies to X = apples + 4*bananas   Since there are twice as many apples as bananas then 1*apple = 2*bananas; which converts to bananas=apple/2   Thus X = apples + 4*(apples/2); which simplifies to X = 2*apples.   Thus apples = X/2   X/2nswer: X/2
<result>A</result>
A bowl contains many kinds of fruit. In the bowl there are twice as many apples then there are bananas, and three times as many oranges as bananas. If the total number of pieces of fruit is X, then how many apples are in the bowl as a fraction of X