AMC 10 Weekly Practice Round 2
Complete problem set with solutions and individual problem pages
There are two bags of fruit. Take of the fruit out of Bag and grams of fruit out of Bag , and the two bags of fruit will weigh the same. Now, if of the remaining fruit in Bag is taken out, the weight of the fruit that is still in Bag will be of the original weight of all the fruit in Bag . In the first place, there are （ ） grams of fruit in the two bags.
- A.
- B.
- C.
- D.
- E.
Let the original amount of fruit in Bag A and Bag B be grams and grams, respectively.
From Bag A, was taken out, so the remaining amount is
From Bag B, grams were taken out, so the remaining amount is
Thus,
Next, half of the remaining fruit in Bag B was taken out, so the remaining amount is
It is also given that this remaining amount equals :
Solving this equation:
Substitute back:
So the total original weight of the fruit is:
Answer: The original total weight of the fruit was grams.
