Final answer:
Eddie has 9 nickels and 10 dimes.
Step-by-step explanation:
To find the number of nickels and dimes that Eddie has, we can set up a system of equations. Let's assume he has x nickels and y dimes. Since Eddie has a total of 19 coins, we can write the equation x + y = 19. Additionally, the total value of the coins is $1.45, which can be represented as 0.05x + 0.10y = 1.45. We now have a system of equations:
- x + y = 19
- 0.05x + 0.10y = 1.45
By solving this system of equations, we can find the values of x and y. We can start by multiplying the first equation by 0.05:
0.05(x + y) = 0.05(19)
0.05x + 0.05y = 0.95
Now we can subtract this equation from the second equation:
(0.05x + 0.10y) - (0.05x + 0.05y) = 1.45 - 0.95
0.10y - 0.05y = 0.50
0.05y = 0.50
y = 0.50 / 0.05
y = 10
Now we can substitute the value of y back into the first equation to find x:
x + 10 = 19
x = 19 - 10
x = 9
Therefore, Eddie has 9 nickels and 10 dimes.