Respuesta :
Answer:
30 one-dollar bills and 12 five-dollar bills.
Step-by-step explanation:
Let x represent number of one-dollar bills and y represent number of five-dollar bills.
We have been given that a tip jar contains x one-dollar bills and y five- dollar bills. There are 42 bills in the jar. We can represent this information in an equation as:
[tex]x+y=42...(1)[/tex]
[tex]x=42-y...(1)[/tex]
We are also told that the total value of all bills is $90.00. We can represent this information in an equation as:
[tex]1x+5y=90...(2)[/tex]
Upon substituting equation (1) in equation (2), we will get:
[tex]42-y+5y=90[/tex]
[tex]42+4y=90[/tex]
[tex]42-42+4y=90-42[/tex]
[tex]4y=48[/tex]
[tex]\frac{4y}{4}=\frac{48}{4}[/tex]
[tex]y=12[/tex]
Therefore, there are 12 five-dollar bills in the tip jar.
Upon substituting [tex]y=12[/tex] in equation (1), we will get:
[tex]x=42-y\\\\x= 42-12\\\\x=30[/tex]
Therefore, there are 30 one-dollar bills in the tip jar.
