This is 8th grade math (pre-algebra).

anjali spent half of her weekly allowance on clothes. to earn more money her parents let her clean the windows in the house for $6. what is her weekly allowance if she ended with $10?

(if you could also tell me how you got the answer aka the work)

First you need to set up a formula. Underline all of your givens:

Spent 1/2 on clothes
$6 more for washing windows
Ended with $10.

now you need to set up an equation.

You know she ended up with $10. So that will be what it equals. Then you know that she earned $6 in addition to her allowance. So this would be (x= allowance) (x+6)/2 = 10.

Now you need to solve for x. 
Multiply both sides by 2.

x+6=20
Now subtract both sides by 6 to get x alone:

x=$14