IMO C
Let a, b, c be the amount (kg) almonds, cashews and pistachios at Green and p, q and r be the amount (kg) of almonds, cashews and pistachios at Riverside. Thus a+b+c=8 and p+q+r =8.
Money spend at Greens, G = 12a +14b+17c
Money spent at Riverside, R=13a +15b +18c
Question asks, is R>G ? Its a yes/no type, need not calculate actual values.
Statement 1: a:b:c = 6:1:1
then a=6k, b=k and c =k.
Also a+b+c =8. Substitute above in this equation, we get 8k=8 i.e. k=1
Thus a =6kg, b=1kg and c=1kg
Thus G = 12(6) +14(1) + 17(1)
Now we know G, but don't know R. So NOT SUFFICIENT
Statement 2: p:q:r = 1:3:4
so we can say p=m, q=3m, and r=4m
p+q+r =8. Putting in values of p,q,r from above will give m=1.
p=1kg, q=3kg and r=4kg.
Thus we can find value of R as we did for G above.
So we know R but we don't know G. So NOT SUFFICIENT
But taken together, we know both G & R and we can find out if R>G or not. (although outcome is not relevant, its just that we can find it) SUFFICIENT.
Bunuel
At a food fair, Nora bought 8 kilograms of nuts from each of two vendors, Green Market and Riverside Market. At Green Market, almonds cost $12 per kilogram, cashews cost $14 per kilogram, and pistachios cost $17 per kilogram. At Riverside Market, the corresponding prices were $13, $15, and $18 per kilogram. Did Nora spend more money at Riverside Market than at Green Market?
(1) The ratio of almonds to cashews to pistachios that Nora bought at Green Market was 6:1:1.
(2) The ratio of almonds to cashews to pistachios that Nora bought at Riverside Market was 1:3:4.
Experience GMAT Club Test Questions
Rise to the challenge with GMAT Club Tests. Happy practicing!