Bunuel wrote:
Last month, Rocky spent a total of $2000 on Games, Music CDs and Food. What amount did he spend on Games?
(1) Last month, the amount that Rocky spent on Games was 40 percent of the amount that he spent on Music CDs.
(2) Last month, the amount that Rocky spent on Games was 25 percent of the amount that he spent on Music CDs and Food.
Given: Last month, Rocky spent a total of $2000 on Games, Music CDs and Food. Let G = Amount spent on Games
Let M = Amount spent on Music CDs
Let F = Amount spent on Food
So, we can write:
G + M + F = 2000Target question: What is the value of G? Statement 1: Last month, the amount that Rocky spent on Games was 40 percent of the amount that he spent on Music CDs. In other words,
G = 0.4MDivide both sides of the equation by 0.4 to get:
2.5G = MNow take the given equation,
G + M + F = 2000, and substitute to get:
G + 2.5G + F = 2000At this point, we can see that there is no way to solve our equation for G.
As such, statement 1 is NOT SUFFICIENT
Statement 2: Last month, the amount that Rocky spent on Games was 25 percent of the amount that he spent on Music CDs and Food. In other words,
G = 0.25(M + F)Multiply both sides of the equation by 4 to get:
4G = M + FNow take the given equation,
G + (M + F) = 2000, and substitute to get:
G + 4G = 2000At this point, it's clear that we can solve the equation for G, which means statement 2 is SUFFICIENT.
Answer: B
Cheers,
Brent