Maggie has only dimes and quarters in her purse. she has 27 coins with a total value of 4.05. how many dimes does maggie have in her purse

By solving a system of equations, we will see that Maggie has 18 dimes and 9 quarters.

First, we define the variables that we will use:

There are a total of 27 coins, so:

Q + D = 27.

The total value is 4.05, so:

Q*0.25 + D*0.10 = 4.05

Then our system of equations:

Q + D = 27

Q*0.25 + D*0.10 = 4.05

To solve this we need to isolate one of the variables in one of the equations, I will isolate Q in the first one.

Q = 27 - D

Now we can replace this on the other equation and solve it for D:

(27 - D)*0.25 + D*0.10 = 4.05

6.75 - D*0.25 + D*0.10 = 4.05

6.75 - D*0.15 = 4.05

6.75 - 4.05 = D*0.15

2.70 = D*0.15

2.70/0.15 = D = 18

So she has 18 dimes, and then the other 9 conis must be quarters.

If you want to learn more about systems of equations, you can read:

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step-by-step explanation:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.