Martha divided 100 marbles among five bags, like so:
- Bag #1 and Bag #2 together contain 52 marbles.
- Bag #2 and Bag #3 together contain 43 marbles.
- Bag #3 and Bag #4 together contain 34 marbles.
- Bag #4 and Bag #5 together contain 30 marbles.
How many marbles are there in each bag?
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The Answer:
Bags #1, #2, #4, and #5 together contain 82 marbles. Therefore, Bag #3 must contain 18 marbles. With that piece of information, you can figure out how many marbles the other bags contain:
You know Bag #2 and Bag #3 = 43 marbles; you know Bag #3 = 18 marbles; therefore, Bag #2 contains 25 marbles.
You know that Bag #1 and Bag #2 = 52 marbles; therefore, Bag #1 contains 27.
You know Bag #3 and Bag #4 = 34 marbles; you know Bag #3 = 18 marbles; therefore, Bag #4 contains 16 marbles.
You know that Bag # 4 and Bag #5 = 30 marbles; you know that Bag #4 contains 16 marbles; therefore, Bag #5 contains 14 marbles.
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