SOLUTION: Mary spent half of her allowance going to the movies. She washed the family car and earned 8 dollars. What is her weekly allowance if she ended up with 18 dollars?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Mary spent half of her allowance going to the movies. She washed the family car and earned 8 dollars. What is her weekly allowance if she ended up with 18 dollars?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1045504: Mary spent half of her allowance going to the movies. She washed the family car and earned 8 dollars. What is her weekly allowance if she ended up with 18 dollars?
Found 3 solutions by josmiceli, josgarithmetic, advanced_Learner:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = her weekly allowance
She spent +x%2F2+, so she has +x%2F2+ left
Then she added +8+, so I can say:
+x%2F2+%2B+8+=+18+
+x%2F2+=+10+
+x+=+20+
Her weekly allowance is $20
------------------------
check answer:
+x%2F2+%2B+8+=+18+
+20%2F2+%2B+8+=+18+
+10+%2B+8+=+18+
+18+=+18+
OK

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
x, her allowance quantity

Amount IN - Amount Out = Amount Held

x%2B8-x%2F2=18

x%2F2%2B8=18

x%2F2=10

highlight%28x=20%29

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
initially she had x
1/2x movies
x-1/2x=1/2x remaining
1/2x+8=18
1/2x=10
x=20$
check
20$
10$ on movies
remaining 20-10=10$
10+8=after washing the car