Question

Please help write out this problem!!!!!!!!!!
The total value of a collection of quarters and nickels is $3.75. If the total number of coins is 27, how many of each type of coins are there?

Answer 1

(.05)(N)+(.25)(Q)27=3.75?

Answer 2

Why did you multiply Q with 27? Reason that out for me.

Answer 3

I'm not sure where to put the 27

Answer 4

If you have N nickels, what is the value of N nickels?

Answer 5

.05

Answer 6

One nickel is 0.05, what is the value of N of them?

Answer 7

5N?

Answer 8

0.05*N

Answer 9

Similarly one quarter is 0.25, the value of Q quarters is ____.

Answer 10

Yes, now what is the total value of N nickels and Q quarters? (in terms of N and Q)

What should this be equal to (as given in the question)

Answer 11

Yes, so 0.05*N + 0.25*Q = 3.75

Now it is given that the number of nickels + the number of quarters is 27.

Answer 12

So, can you make another equation relating Q and N with 27?

Answer 13

.05N+.25Q-27=3.75??

Answer 14

Number of nickels + number of quarters = 27

N + Q = 27

and the other equation was

0.05*N+0.25*Q=3.75

Can you solve these two?

Answer 15

.25Q+.05(27-N)=3.75?????????????????????????????????????????????????????????????????

Answer 16

0.25Q+0.05(27-Q)=3.75 (Since N+Q = 27, N = 27-Q and then substitute in the second equation)