Question

Casey has n nickels. Megan has 4 times as many nickels as Casey has. Write and expression for the total number of nickels Casey and Megan have. Then simplify the expression.

Answer 1

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.

`\text{Total number of nickels Casey and Megan have}=n+4*n`

Therefore, the expression
`n+4*n` will represent the total number of nickels that Casey and Megan have .

Upon combining like terms we will get,

`\text{Total number of nickels Casey and Megan have}=(1+4)n`

`\text{Total number of nickels Casey and Megan have}=5n`

Therefore, Casey and Megan have 5n nickels.