Answer:
Madi has 80 pennies and 160 nickels.
Explanation:
To solve the problem, let's set up the equations based on the given information.
The value of pennies can be represented as 0.01p (since each penny is worth $0.01).
The value of nickels can be represented as 0.05n (since each nickel is worth $0.05).
We are told that Madi has $8.80 in total, so we can set up the equation:
0.01p + 0.05n = 8.80 (Equation 1)
We are also told that there are twice as many nickels as pennies, so we can set up the equation:
n = 2p (Equation 2)
Now we have a system of equations. We can substitute Equation 2 into Equation 1 to solve for the values of p and n.
Substituting n = 2p into Equation 1:
0.01p + 0.05(2p) = 8.80
0.01p + 0.10p = 8.80
0.11p = 8.80
p = 8.80 / 0.11
p = 80
Now we know that Madi has 80 pennies. Substituting this value into Equation 2:
n = 2p
n = 2(80)
n = 160
Therefore, Madi has 80 pennies and 160 nickels.