You have a $100 bill. You want to make change into an equal number of $20 bills, $10 bills, and $5 bills. Is it possible? If so, tell how many of each bill you will have. Can you write this into an equation?
20+10+5 = 35
35 does not divide 100, so there's no way to make $100 with equal numbers of bills.
Yes, it is possible to make change for a $100 bill into an equal number of $20 bills, $10 bills, and $5 bills.
To solve this, let's assume you have x number of each bill: $20 bills, $10 bills, and $5 bills.
To find the equation, we can add up the total value of each bill and set it equal to the $100 bill.
The total value of the $20 bills would be 20x.
The total value of the $10 bills would be 10x.
The total value of the $5 bills would be 5x.
So, the equation would be:
20x + 10x + 5x = 100
Now, let's solve for x:
Adding up the x terms: 35x = 100
Dividing both sides by 35: x = 100/35
Simplifying: x ≈ 2.86
Since you can't have a fractional number of bills, you will round down x to the nearest whole number, which is 2.
Therefore, you will have 2 $20 bills, 2 $10 bills, and 2 $5 bills.