Question

charlie goes to his piggy bank and finds 35 coins. all nickels and quarters are worth $ 5.15 which equation best represents the situation if n is nickels and q the number of quarters , systems of equations

Answer 1

To represent the situation mathematically using a system of equations, we firstly need to understand what each piece of information represents in mathematical terms.

1. The total number of coins, both nickels (n) and quarters (q), is 35. This can be written as an equation: n + q = 35

2. Now, the total monetary value we have is $5.15. Each nickel is worth $0.05 and each quarter is worth $0.25. Therefore, the sum of the value of all the nickels and quarters should be equal to $5.15. We can represent this as follows: 0.05n + 0.25q = 5.15

Thus, putting the two equations together, we form a system of equations that represents the given situation:

n + q = 35
0.05n + 0.25q = 5.15

This system of equations signifies the total number of coins and the total value of these coins simultaneously.