Considering the value of each coin, it is found that:
- With 7 nickels and 9 quarters, she has $2.60.
- With n nickels and q quarters, her amount in dollars is of 0.05q + 0.25n.
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- A nickel is worth $0.05.
- A quarter is worth $0.25.
- Thus, with 7 nickels and 9 quarters, we multiply 7 by 0.05 and 9 by 0.25, adding them and finding that she has:
[tex]T = 7(0.05) + 9(0.25) = 2.6[/tex]
- What we did above can be generalized for a generic number of nickels and dimes, that is, n nickels and q quarters, when she will have:
[tex]T = 0.05q + 0.25n[/tex]
A similar problem is given at https://brainly.com/question/24342899
