Place twelve $1 bill and twelve $10 bill on the template. Than exchange bills so that the same amount of money is on the template using the fewest number of bills. Write the result in expanded form
To solve this problem, we need to exchange the bills in a way that the total amount of money on the template remains the same, but with the fewest number of bills.
Here's how we can do it:
1. Remove one $10 bill from the template, leaving us with eleven $1 bills and eleven $10 bills.
2. Take one of the $1 bills and replace it with the $10 bill we removed. Now we have twelve $1 bills and ten $10 bills.
3. Continue this process until we run out of $1 bills or $10 bills to exchange. We can keep exchanging one $1 bill for one $10 bill until we have used up all the $1 bills. At this point, we will have twelve $10 bills and no $1 bills on the template.
The final result can be written in expanded form as:
$10 + $10 + $10 + $10 + $10 + $10 + $10 + $10 + $10 + $10 + $10 + $10 = $120
So, using the fewest number of bills, the total amount on the template remains the same at $120, written in expanded form.