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John has four time five dollar notes, as much as he has 1 dollar notes. john's total amount is 63$ how many 5 dollar notes does john have?

User Cnaegle
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1 Answer

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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.

User Dick Goodwin
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