Question

Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?

If the variable n represents the number of nickels, then which of the following expressions represents the number of quarters?

n/4
n
4n
n + 4

Answer 1

I think the answer is 4n!

Answer 2

C. 4n.

Peggy had 2 nickels and 8 quarters.

Explanation:

Let n represent number of nickels.

We have been given that Peggy had four times as many quarters as nickels. We can represent this information in an equation as:

`\text{Number of quarters}=4* n=4n`.

We are also told that she had $2.10 in all. We can represent this information in an equation as:

`0.05n+0.25(4n)=2.10`

`0.05n+n=2.10`

`1.05n=2.10`

`(1.05n)/(1.05)=(2.10)/(1.05)`

`n=2`

Therefore, Peggy had 2 nickels.

`\text{Number of quarters}=4* 2`

`\text{Number of quarters}=8`

Therefore, Peggy had 8 quarters.