a student has some $1 and $5 bills in his wallet. He has a total of 13 bills that are worth $33. How many of each type of bill does he have?
Answer: The number $1 bills is 8 and the number of $5 bills is 8.
Step-by-step explanation:
Let x denotes $1 bills and y be denotes $5 bills.
Then , we have the following equations :-
\(x+y=13-------(1)\\\\x+5y=33-------(2)\)
Subtracting equation (1) from (2), we get
\(4y=33-13=20\\\\\Rightarrow y=\dfrac{20}[4}=5\)
Substitute y=5 in equation(1), we get
\(x+5=13\\\\\Rightarrow\ x=13-5=8\)
Hence, the number $1 bills is 8 and the number of $5 bills is 8.