Elina is gathering up change she has saved. She has a total of $2.60. All of her change is in either nickels, dimes, or quarters. She has twice as many dimes as quarters and two less quarters than nickels.
(a) Is it possible that Elina has eight dimes, four quarters, and six nickels? Explain.

(b) Is it possible that Elina has 12 dimes, four quarters and eight nickels? Explain.

(c) If the number of quarters Elina has is represented by the variable n, write an equation that models this
problem and solve it for the number of each type of coin.