If David, Oscar, and Xavier have a total of $32, how much money does

Question

If David, Oscar, and Xavier have a total of $32, how much money does Oscar have?

(1) The ratio of the amount of money Oscar has to the total amount that David and Xavier have is 3: 5.

(2) The ratio of the amount of money Xavier has to the total amount that David and Oscar have is 1 : 7.

Showmeyaa · Answer

Given: D + O + X = 32
1) \frac{ O}{D + X} = \frac{3}{5} 
 \frac{ O}{D + X} = \frac{3}{5} 
 \frac{ O}{32 - O} = \frac{3}{5} 
O = 12 - Sufficient!
2) \frac{ X}{D + O} = \frac{1}{7} 
 \frac{ X}{32 - X} = \frac{1}{7} 
X = 4
D + O = 28
O could be anything - Insufficient! IMO, (A)!

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If David, Oscar, and Xavier have a total of $32, how much money does

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