Final answer:
John has 12 five-dollar notes. We solved two equations: 5x + y = 63 and x = 4y, representing the total money and the ratio of five-dollar to one-dollar notes, respectively. The solution involved substitution and simple algebra.
Step-by-step explanation:
The question asks us to figure out how many $5 notes John has. Since John has four times as many $5 notes as $1 notes and the total amount is $63, we can set up two equations to represent this information and solve the problem.
Step 1: Set Up the Equations
Let x represent the number of $5 notes and y represent the number of $1 notes.
The first equation represents the total amount of money: 5x + y = 63
The second equation represents the relationship between the number of $5 notes and $1 notes: x = 4y
Step 2: Solve the Equations
Now we substitute x from the second equation into the first equation:
5(4y) + y = 63
20y + y = 63
21y = 63
y = 63 / 21
y = 3
Now that we know the value of y, we can find x:
x = 4y
x = 4(3)
x = 12
So, John has 12 $5 notes.