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

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`

Answer 2

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.