Final answer:
Jan cannot have 1 bill totaling $135 with a combination of $5 and $10 bills, as the calculations lead to an impossible negative number of $10 bills.
Step-by-step explanation:
The student asks how many $5 and $10 bills Jan has if she has a total of $135 with 1 bill altogether. To solve this, we can use a system of equations to represent the number of bills. Let x be the number of $5 bills and y be the number of $10 bills. We have two equations based on the information provided:
- 5x + 10y = 135 (total dollar amount)
- x + y = 1 (total number of bills)
Solving the second equation for y, we get y = 1 - x. Substituting this into the first equation gives us 5x + 10(1 - x) = 135. This simplifies to 5x + 10 - 10x = 135, and further to -5x = 125 once we subtract 10 from both sides. Dividing by -5 gives us x = 25, which means Jan has 25 $5 bills.
To find the number of $10 bills, we substitute x back into the equation y = 1 - x to get y = 1 - 25, which gives us y = -24. However, since you can't have a negative number of bills, it appears there has been a mistake in the question, possibly in the provided total number of bills or the amount Jan has in total. The student should verify the correct numbers to solve the problem accurately.