SOLUTION: I have been struggling with this problem for a while now and I was wondering if anyone could help me? I would deeply appreciate it. Please and Thank You!!! Solving Problems

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Question 125847This question is from textbook Algebra Structure and Method
: I have been struggling with this problem for a while now and I was wondering if anyone could help me? I would deeply appreciate it. Please and Thank You!!!

Solving Problems Involving Inequalities
Solve.
A mechanic earns $20 an hour, but 25% of his earnings are deducted for taxes and various types of insurance. What is the least number of hours the mechanic must work in order to have no less than $450 in after-tax income This question is from textbook Algebra Structure and Method

Found 2 solutions by josmiceli, checkley71:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let h = number of hours worked
20h+-+.25%2A20h+=+450
20h%281+-+.25%29+=+450
.75%2A20h+=+450
15h+=+450
h+=+30 hours answer

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(20*.75)x=450 [the .75 is what is earned after taxes]
15x=450
x=450/15
x=30 hours will net a $ 450 salary
proof
(20*30).75=450
600*.75=450
450=450