SOLUTION: 1.a man sold x similar books for $132. if he had sold (x-1) books but charges $1 more for each book he would have received then same amount of money find the value of X. 2.adam

Question 388074: 1.a man sold x similar books for $132. if he had sold (x-1) books but charges $1 more for each book he would have received then same amount of money find the value of X.
2.adam works part time at a fast food restaurant that pay $x per hour while jenny works as a sales assitant in botique that pays $(X+2) per hour adam work 8 hour more per week than jeeny and they each earn $192a week . find the value of x and the number of hours that adam work in a week.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
1. The unit price is 132/x. From the 2nd sentence, .
Solving this equation, we get (x-1)(132 + x) = 132x;
;
;
(x-12)(x+11) = 0. Hence x = 12,-11. Eliminate -11, so the value of x, or the number of books sold, is 12.
2. Let a = # hours Adam works in a week, and
x = hourly rate of Adam.
then from the given information,
ax = 192, and
(a-8)(x+2)= 192.
The bottom equation is ax + 2a - 8x-16 = 192;
substituting ax =192 in to the last equation gives
192 +2a-8x-16 = 192, or a - 4x- 8 = 0, after simplifying. Hence a = 4x+8.
Putting this into ax = 192, we get
(4x + 8)x = 192, or
(x+2)x = 48, or
, or
(x+8)(x-6) =0, which gives x = -8, 6. Eliminate -8 (why?).
Therefore x = 6, the hourly rate of Adam, and
6a =192 -----> a = 32, the # of hours of work per week for Adam.
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