Lizzy: A jar full of marbles is sitting on a table. Half of the marbles are blue, a quarter of them are red, 27 of them are green, and 14 of them are yellow. How many marbles are in the jar?.
Me: Hmmm, let me think. I think this is the detailed solution:
Let x = the number of marbles in the jar. If 50% of the marbles are blue, and 25% of them are red, then the remaining 25% must be either green or yellow. So 0.25 * x = 27 green marbles + 14 yellow marbles = 41 marbles. So there are a total of 4 * 41 = 164 marbles in the jar. Final answer: 164.