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

Answer:

C. 4n.

Peggy had 2 nickels and 8 quarters.

Step-by-step 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:

$\text{Number of quarters}=4\times n=4n$.

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

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

$0.05n+n=2.10$

$1.05n=2.10$

$\frac{1.05n}{1.05}=\frac{2.10}{1.05}$

$n=2$

Therefore, Peggy had 2 nickels.

$\text{Number of quarters}=4\times 2$

$\text{Number of quarters}=8$

Therefore, Peggy had 8 quarters.