Question

AA cash register has only one-dollar bills and five-dollar bills, and no change. There are $6$6 times as many one-dollar bills as five-dollar bills. The total amount in the cash register is $231.

Answer 1

There are 126 $1 bills and 21 $5 bills.

Explanation:

Given,

Total cash Amount = $231

Solution,

Let the number of $1 bill be 'x'.

And the number of $5 bill be 'y'.

Now according to question, one-dollar bills is six times of five-dollar bills.

So, we can frame it in equation form as;

`x=6y` ⇒ equation 1

Again according to question, there is only one-dollar bills and five-dollar bills, and no change.

That means the total cash amount is in the form of $1 and $5.

So, we can frame the above sentence in equation form as;

`1* x+5* y=231\\\\x+5y=231`⇒ equation 2

Now substituting the value of x in equation 2, we get;

`6y+5y=231\\\\11y=231\\\\y=(231)/(11)=21`

So,
`x=6y=6* 21=126`

Hence There are 126 $1 bills and 21 $5 bills.