The following GMAT data sufficiency question tests your understanding of how to deal with linear equations with two unknowns where the variables are constrained to be integer values.
A bag contains $\$2.90$ with a mix of quarters ($25$ cents) and dimes ($10$ cents). How many dimes are in the bag?
- (1) There are fewer dimes than quarters in the bag.
- (2) There are $6$ more quarters than dimes in the bag.
- Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- EACH statement ALONE is sufficient.
- Statements (1) and (2) TOGETHER are NOT sufficient.