molly has 14 coins in her pocket. She has nickels and dimes that total $1.10 How many nickels and how many dimes does she have?

Answer 1

Let's use a system of equations to solve this problem:

n = number of nickels
d = number of dimes

From the problem, we know that:

n + d = 14 (since Molly has 14 coins in total)
0.05n + 0.10d = 1.10 (since the value of all her coins is $1.10)

Now we can use the first equation to solve for one of the variables in terms of the other:

n = 14 - d

Substituting this into the second equation, we get:

0.05(14 - d) + 0.10d = 1.10

Expanding and simplifying:

0.70 - 0.05d + 0.10d = 1.10
0.05d = 0.40
d = 8

So Molly has 8 dimes. We can substitute this back into the first equation to find the number of nickels:

n + 8 = 14
n = 6

Therefore, Molly has 6 nickels and 8 dimes.