Question

Yes, I have 18 points in her pocket. She has nickels and dimes that total dollar and $.20 how many nickels and dimes does she have write and solve a system of equation to find the answer

Answer 1

Let's solve this problem by writing a system of equations.

Let's represent the number of nickels as 'n' and the number of dimes as 'd'.

We know that the total number of coins is 18:
n + d = 18 ----(equation 1)

We also know that the total value of the coins is $0.20:
0.05n + 0.10d = 0.20 ----(equation 2)

To solve the system of equations, we can use the substitution or elimination method. Let's use the substitution method.

Solve equation 1 for n:
n = 18 - d

Substitute the value of n in equation 2:
0.05(18 - d) + 0.10d = 0.20

Distribute 0.05:
0.90 - 0.05d + 0.10d = 0.20

Combine like terms:
0.05d = 0.20 - 0.90
0.05d = -0.70

Divide by 0.05:
d = -0.70/0.05
d = -14

Since the number of dimes cannot be negative, there is no solution to this system of equations. It seems that there might be an error in the problem description or the given information.