Question

you have a bag of nickels and quarters that total $3.15. You have four times as many quarters as you have nickels. How many nickels and quarters do you have?

Answer 1

Hello and welcome to open study!

Answer 2

Okay this is pretty simple my friend

Answer 3

how many quarters in a dollar?

Answer 4

okay how many in 3 dollars?

Answer 5

okay we have 12 now how many nickles in 15 cents

Answer 6

Now whats 12 divided by 3?

Answer 7

Think you just found your answer freind

Answer 8

No problem

Answer 9

Please close the question when you are ready

Answer 10

If you are learning systems of equations, and this problem is meant to be solved with a system of equations, then you can do this.
Let the number of nickels = n
Let the number of quarters = q

A nickel is worth $0.05, and a quarter is worth $0.15

n nickels are worth 0.05n, and q quarters are worth 0.25q

All the coins together are worth: 0.05n + 0.25q. We are also told they are worth $3.15, so that gives us our first equation:

0.05n + 0.25q = 3.15

For the second equation, we deal with the number of coins.
"You have four times as many quarters as you have nickels."
Since you have n nickels, you must have 4n quarters.
That gives us our second equation:

q = 4n

Now we have a system of equations in two unknowns that can be solved to find the numbers of nickels and quarters.

0.05n + 0.25q = 3.15
q = 4n

Since the second equation is already solved for q, let's use the substitution method and substitute 4n for q in the first equation:

0.05n + 0.25(4n) = 3.15
0.05n + n = 3.15
1.05n = 3.15
n = 3

q = 4n = 4(3) = 12

Answer: there are 3 nickels and 12 quarters.