Question

Peggy had three times as many quarters as nickels. She had $1.60 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/3. n. n + 3. 3n

Answer 1

The expression that represents the number of quarters is 3n. The correct answer between all the choices given is the last choice. I am hoping that this answer has satisfied your query and it will be able to help you, and if you would like, feel free to ask another question.

Answer 2

Let

n-------> the number of nickels

q------> the number of quarters

we know that

$1\ quarter=\ 0.25\\1\ nickel=\ 0.05$

so

$0.05n+0.25q=1.60$ ----> equation A

$q=3n$ ----> equation B

substitute equation B in equation A

$0.05n+0.25[3n]=1.60$

$0.05n+0.75n=1.60$

$0.80n=1.60$

$n=2$

Find the value of q

$q=3*2=6$

therefore

The answer part a) is

the number of nickels are  $2$  and the number of quarters are $6$

the answer Part b) is

The expressions that represents the number of quarters is

$q=3n$