Answer :
The total amount in George's piggy bank is 7.4 dollars
Finding unknown quantity using Linear Equation:
A linear equation is a mathematical statement, which is used to find an unknown quantity in a given problem. Here to represent the unknown quantity we will use variables like x, y, and so on.
Here, George has nickels, dimes, and quarters in a piggy bank.
Since we don't know the number of each we will take different variables to represent them as given below
Let the Number of nickles = x
Number of dimes = y
Number of quarters = z
Given the total number of coins = 56
=> x + y + z = 56 -----(1)
And also given that he has half as many dimes as nickels and he has 8 more quarters than dimes.
=> x/2 = y => x = 2y -----(2)
=> z = y + 8 -----(3)
From (2) and (3)
(1) => 2y + y + y + 8 = 56
=> 2y + 2y = 48
=> 4y = 48
=> y = 12
From (3), z = 12 + 8 = 20
From (2), x = 2(12) = 24
Therefore, here we have 24 nickels, 12 dimes, and 20 quarters
As we know nickel = 5 cents, dime = 10 cents, and quarter = 25 cents
The total amount in George's piggy bank
= 24(5 cents) + 12(10 cents) + 20(25 cents)
= 120 cents + 120 cents + 500 cents
= 740 cents
= 7.4 dollars
Learn more about Linear Equation problems at
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