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15
Using the given information, we can create three equations to help us find the number of books that Jasmine owns. Let the number of books owned by Brian be B, by Erika be E, and by Jasmine be J.
| Given Information | Equation |
|---|---|
| Brian has 3 more books than Erika. | B=3+E |
| Jasmine has triple (* 3) the number of books that Brian has. | J=3B |
| Altogether Brian, Erika, and Jasmine have 22 books. | B+J+E=22 |
Now, we need to combine our equations in a way that allows us to solve for J.
In the first equation, B is expressed in terms of E. In the second equation, J is expressed in terms of B. Using the first equation, we can rewrite J so that it's also expressed in terms of E.
Now that both J and B are expressed in terms of E, we can replace these variables in the third equation to have one equation that we can solve for E.
Now that we know the value of E, we can use the remaining equations to find B and J.
| Human | Using the Equation in Terms of E | Number of Books |
|---|---|---|
| Erika | — | E=2 |
| Brian | B=3+2 | B= 5 |
| Jasmine | J=9+3(2) | J= 15 |
Therefore, Jasmine has 15 books.