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Madi has $8.80 in pennies and nickels. If there

are twice as many nickels as pennies, how
many pennies and nickels does Madi have?
First complete the equations below, where p stands for
pennies and n stands for nickels.
[?]p + []n = 8.80; n = [ ]p
Hint: A penny is worth $0.01 and a nickel is
worth $0.05.

2 Answers

7 votes

Answer:

80 pennies & 160 nickles

Explanation:

User Rohit Lal
by
7.7k points
0 votes

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.

User Marenz
by
8.1k points