Dana has a piggy bank(she is just starting to save money in her piggy bank).
1- All of the coins in her bank expect two quarters.
2- All of the coins in her bank except two are nickels
3- All ofthe coins in her bank except two are pennies .
How much money does Dana have in her bank?. Write your answer and explanation on the lines below . Show your calculationsin the space provided below.
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To solve this problem, we need to figure out which coins Dana has in her piggy bank.
Let's assign variables to each type of coin:
Q = number of quarters
N = number of nickels
P = number of pennies
According to the information given:
1) All of the coins in her bank except two quarters: (Q - 2) nickels + (Q - 2) pennies.
2) All of the coins in her bank except two are nickels: 2 quarters + (N - 2) pennies.
3) All of the coins in her bank except two are pennies: 2 quarters + 2 nickels.
Now, we can set up equations based on the information above:
1) Q - 2 = (Q - 2) + (Q - 2) (equation 1)
2) N - 2 = 2 + (N - 2) (equation 2)
3) P - 2 = 2 + 2 (equation 3)
Let's solve these equations one by one:
1) From equation 1, we simplify it to:
Q = Q - 2 + Q - 2
Q = 2Q - 4
4 = Q
2) From equation 2, we simplify it to:
N - 2 = 2 + N - 2
0 = 2
This equation is inconsistent and doesn't provide any information about the value of N.
3) From equation 3, we simplify it to:
P - 2 = 2 + 2
P = 6
Now, let's calculate the total amount of money in Dana's piggy bank:
Total = value of quarters + value of nickels + value of pennies
Total = 4 * $0.25 + N * $0.05 + 6 * $0.01
Total = $1.00 + $0.05N + $0.06
Since we don't know the value of N, we can't determine the exact amount of money in Dana's piggy bank. However, we do know that she has at least $1.06 based on the given information.