You empty your coin jar and find 49 coins (all nickels and quarters). The total value of the coins is $8.65. How many nickels and how many quarters do you have?

Answer 1

You have 2 equations:

n + q = 49

.05 n + ,25q = 8.65

This is a system of equations. You can solve it by substitution. It's easier if you simplify the 2nd equation by multiplying both sides by 100 to get

5n = 25q = 865

You can simplify this equation more by dividing both sides by 5 to get

n + 5q = 173

Solve the first equation for n to get

n = 49 - q

Now substitute this nto the 2nd equation to get

49 - q + 5q = 173

Solve this to ge

q = 31

Now substitute this back into the first equation to get

n + 31 = 49

Solve for n to get

n = 18

This gives you 18 nickels and 31 quarters.

I hope this helps!

Answer 2

n represents the number of nickels

49 - n represents the number of quarters

0.05n + 0.25(49 - x) = 8.65

Can you solve for n and answer?