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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

Verified Answer :

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
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calculista

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

\(q=3n\)


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