Question 1198947
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1. Your idea is right, but you aren't interpreting the given information correctly.  She worked a TOTAL of 10 hours of overtime, of which 4 hours were on Sunday.  So she had 4 hours of overtime at double pay and 6 hours (not 10) of overtime at time-and-a-half.<br>
Your equation should be<br>
40x+6(1.5x)+4(2x)=456<br>
2. The algebra simply puts in formal mathematical language what the problem tells you.<br>
To solve the problem without algebra, you can figure that the 4 hours at double pay are worth 4*2=8 regular hours, and the 6 hours at time-and-a-half are worth 6*1.5=9 regular hours; so in terms of regular hours she worked 40+8+9 = 57 hours.  Then use ordinary arithmetic to divide her pay of $456 by 57 to find that her regular hourly rate is $8.<br>