A bottle is 80% full. The liquid in the bottle consists of 60% guava

BTGModeratorVI wrote: ↑

Fri Mar 06, 2020 5:52 pm

A bottle is 80% full. The liquid in the bottle consists of 60% guava juice and 40% pineapple juice. The remainder of the bottle is then filled with 70 mL of rum. How much guava juice is in the bottle?

A. 168 mL
B. 170 mL
C. 200 mL
D. 210 mL
E. 250 mL

Answer: A
Source: Manhattan Prep

The bottle is filled 80% to capacity, and then 70ml of rum makes the bottle 100% filled to capacity.
So, 70ml represents 20% of the capacity.

So, BEFORE the rum was added, there were 280ml of liquid in the bottle (i.e., if 70ml represents 20% of capacity, then 280ml represents 80% of capacity)

We're told that 60% of the liquid is guava juice.
60% of 280ml = 168 ml

Answer: A

Cheers,
Brent

BTGModeratorVI wrote: ↑

Fri Mar 06, 2020 5:52 pm

A bottle is 80% full. The liquid in the bottle consists of 60% guava juice and 40% pineapple juice. The remainder of the bottle is then filled with 70 mL of rum. How much guava juice is in the bottle?

A. 168 mL
B. 170 mL
C. 200 mL
D. 210 mL
E. 250 mL

Answer: A
Source: Manhattan Prep

Since the bottle is initially 80% full and the remainder of the bottle is filled with 70 mL of rum, the amount of rum accounts for 20% of the capacity of the bottle. We can let x = the total number of mLs in the bottle and create the following equation:

0.2x = 70

x = 70/0.2

x = 350

The capacity of the entire bottle is 350 mL. This means that it was initially filled with 80% of 350 mL of juice, which is 0.8 x 350 = 280.

So, the bottle initially had 280 mL of juice and 60% of that amount was guava juice: 0.6 x 280 = 168 mL.

Answer: A