Answer:
Option C; q + n = 23, 0.25q + 0.05n = 3.15
Explanation:
~ We can say see that q ⇒ count of quarters, and n ⇒ count of nickels
1. If that is true, it would be that q + n = 23, as the total number of coins would = the count of quarters + count of nickels, knowing that there are only these 2 types of coins.
2. Provided a quarter costs 0.25 of a dollar, and a nickel costs 0.05 of a dollar, 0.25 * number of quarters ⇒ the cost of these number of quarters, and 0.05 * number of nickels ⇒ the cost of these number of nickels. That would make 0.25 * q and 0.05 * n. That being said we could say that 0.25 * q + 0.05 * n ⇒ total cost of coins, which is $3.15. This would make the equation: 0.25q + 0.05n = 3.15
3. This leaves us with two equations: q + n = 23, and 0.25q + 0.05n = 3.15. This would lead to ⇒ Answer: Option C