Translate into a pair of linear equations in two variables.
solve the equations using elimination or substitution
state your answer for specified variable
Mrs. Boyd has a desk full of quarters and nickels. if she has a total of 25 coins with a total face value of 2.85 , how many are nickels?
I have not been able to figure out how to do this problem and have tried.
Let the number quarters be represented by q, and nickels by n.
The total number of coins is q + n, which is equal to 25.
So, you have
q + n = 25
Now, the value of a nickel is 5 and that of a quarter is 25 (I'm not sure for the value of a nickel, correct me if I'm wrong, it's not my currency).
0.25q gives the value of the total quarters, and 0.05n gives the value of the total nickels.
Their value add up to 2.85.
So,
0.25q + 0.05n = 2.85
You now have:
q + n = 25
0.25q + 0.05n = 2.85
Solve them simultaneously
Post what you get!
EDIT: Oops, didn't know you posted before me earboth