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?

Answer 1

Answer: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

Explanation: