Answer:
<u>Kathy worked 11 hours at job A and 12 hours at job B, the week she made US$ 146.70.</u>
Step-by-step explanation:
1. Let's review all the information given for solving this question:
Rate per hour of Job A = US$ 5.70
Rate per hour of Job B = US$ 7.00
Earnings received by Kathy during the week = US$ 146.70
Total time worked by Kathy during the week = 23 hours
Hours at job A = x
Hours at job B = 23 -x
2. Let's find how many hours Katy worked at each job:
This is the equation that we'll use:
5.70x + 7 (23 - x) = 146.70
5.70x + 161 - 7x = 146.70
- 1.3x = 146.70 - 161 (Subtracting 161 at both sides)
-1.3x = - 14.30
1.3x = 14.3 (Multiplying by - 1 at both sides)
x = 14.3/1.3 = 11 (Dividing by 1.3 at both sides)
<u>Kathy worked 11 hours at job A and 12 hours at job B.</u>
3. Proof of x = 11
5.70 x + 7 (23 - x) = 146.70
5.70 (11) + 7 (23 - 11) = 146.70
62.70 + 7 (12) = 146.70
62.70 + 84 = 146.70
146.70 = 146.70
<u>The value of x = 11 is correct.</u>
Note. I provided the same answer to question 13954115.
+ 22) -12