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Answer :
Abby has 124 books, Bob has 62 books, and Jane has 186 books. This satisfies the conditions of the problem where their combined total is 372 books.
Let's define variables based on the information given:
Let B be the number of books Bob has.
Then, Abby has 2B books because she has twice as many as Bob.
Jane has three times as many books as the sum of Abby, Bob, and Jane's books combined.
Let's denote the total number of books they have as 372.
The equation can be formulated as follows:
Total books = Bob's books + Abby's books + Jane's books = 372
So, B + 2B + 3 * (B + 2B + J) = 372
Simplifying, we get:
3B + 3*(3B) = 372
3B + 9B = 372
12B = 372
Solving for B:
B = 31
Now, we calculate the number of books each person has:
- Bob: B = 31
- Abby: 2B = 2*31 = 62
- Jane: 3 * (31 + 62 + 31) = 3 * 124 = 372
So, the correct option is:
b) Abby: 124, Bob: 62, Jane: 186
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