Step-by-step explanation:
Let n be the number of nickels that Casey has.
We are told that Megan has 4 times as many nickels as Casey has, therefore, the number of nickels that Megan has will be 4*n.
Now we will add the amounts of nickels that Casey and Megan have to find the total amount of nickels.
[tex]\text{Total number of nickels Casey and Megan have}=n+4*n[/tex]
Therefore, the expression [tex]n+4*n[/tex] will represent the total number of nickels that Casey and Megan have .
Upon combining like terms we will get,
[tex]\text{Total number of nickels Casey and Megan have}=(1+4)n[/tex]
[tex]\text{Total number of nickels Casey and Megan have}=5n[/tex]
Therefore, Casey and Megan have 5n nickels.