Hailey has 40 nickels and dimes and has a total of $2.85. How many dimes does she have?
'I got -23 nickels bit i don't think that's right.
23 nickels is right, but that wasn't what you were asked to find.
23 * 0.05 = 1.15
2.85 - 1.15 = 1.70
1.70 / 0.1 = 17
23 + 17 = 40
You're right!
Honestly, I think you are right.
nickels = 5 cents
dimes = 10 cents
23 x 5 = 115 - Or this could be $1.15
There are 17 remaining coins. These are dimes.
17 x 10 = 170 - Or this could be $1.70
Add the total dollar amounts:
$1.15 + $1.70 = $2.85
So, I think you are correct.
I hope this helps! :)
thanks all of you!:)
You're welcome McCormick. Ms Sue's way is a lot easier, I was just doing it the way that I would have double-checked it.
number of nickels --- n
number of dimes ---- d
n+d = 40
5n + 10d = 285
divide by 5
n + 2d = 57
subtract the two equations:
d= 17
then in n+d = 40
n+17 = 40
n = 23
To solve this problem, we can set up a system of equations.
Let's use the following variables:
N = number of nickels
D = number of dimes
We know that Hailey has a total of 40 nickels and dimes, so we can write the equation:
N + D = 40 (equation 1)
We also know that the total value of the coins Hailey has is $2.85. Since the value of each nickel is $0.05 and the value of each dime is $0.10, we can write another equation to represent the value:
0.05N + 0.10D = 2.85 (equation 2)
Now, we can solve these equations simultaneously to find the values of N and D.
One way to solve this system of equations is by substitution. Rearrange equation 1 to solve for N:
N = 40 - D
Now substitute this value of N into equation 2:
0.05(40 - D) + 0.10D = 2.85
Distribute 0.05:
2 - 0.05D + 0.10D = 2.85
Combine like terms:
0.05D = 0.85
Divide both sides by 0.05:
D = 17
So, Hailey has 17 dimes.
To check if this answer is correct, substitute D = 17 back into equation 1:
N + 17 = 40
N = 40 - 17
N = 23
Therefore, Hailey has 23 nickels and 17 dimes.