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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

Respuesta :

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.

calculista

Let

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

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

we know that

[tex]1\ quarter=\$0.25\\1\ nickel=\$0.05[/tex]

so

[tex]0.05n+0.25q=1.60[/tex] ----> equation A

[tex]q=3n[/tex] ----> equation B

substitute equation B in equation A

[tex]0.05n+0.25[3n]=1.60[/tex]

[tex]0.05n+0.75n=1.60[/tex]

[tex]0.80n=1.60[/tex]

[tex]n=2[/tex]

Find the value of q

[tex]q=3*2=6[/tex]

therefore

The answer part a) is

the number of nickels are  [tex]2[/tex]  and the number of quarters are [tex]6[/tex]

the answer Part b) is

The expressions that represents the number of quarters is

[tex]q=3n[/tex]


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