SOLUTION: A glass is 3/5 full of milk. Some milk is removed, and then the glass is 3/7 full. Next 220 mL of milk is added, filling the glass to capacity. The number of mL the glass holds whe

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Question 1200479: A glass is 3/5 full of milk. Some milk is removed, and then the glass is 3/7 full. Next 220 mL of milk is added, filling the glass to capacity. The number of mL the glass holds when full is
A) 308
B) 366 2/3
C) 385
D) 513 1/3
E) 550
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Answer: 385 mL (choice C)

Explanation:

After the glass reaches 3/7 full, 220 mL of milk is needed to get to 100% full.
This must mean that 220 mL represents 4/7 of a full glass.
3/7 + 4/7 = (3+4)/7 = 7/7 = 1 = 100%

x = full capacity in mL
(4/7)x = 220
4x = 220*7
4x = 1540
x = 1540/4
x = 385 mL