Answer:
A = 14.2/1.1 hours
B = 5.091 hours
Step-by-step explanation:
Formulate 2 simultaneous equations
5.7A + 6.8B = 111.40..........(1)
A +B =18...............................(2)
Multiply each item in (2) by 5.7 to get
5.7A + 5.7B = 97.2............(3)
subtract (1) - (3) on each side
5.7A -5.7A + 6.8B - 5.7B = 111.40 -97.2
1.1B = 14.2
B = 14.2 /1.1
to get A use equation (2)
A = 18 - B
A = 18 - 14.2/1.1 = 5.091
Answer:in the week , he worked 10 hours at Job A and 8 hours at job B
Step-by-step explanation:
Let x represent the number hours that Joe worked at job A in a week.
Let y represent the number of hours that Joe worked at job B in a week.
Working his way through school, Joe works two part-time jobs for a total of 18 hours a week. This means that
x + y = 18
Job A pays $5.70 per hour, and Job B pays $6.80 per hour. He made a total of $111.4 working at each job during the week. It means that
5.7x + 6.8y = 111.4 - - - - - - - - - -1
Substituting x = 18 - y into equation 1, it becomes
5.7(18 - y) + 6.8y = 111.4
102.6 - 5.7y + 6.8y = 111.4
- 5.7y + 6.8y = 111.4 - 102.6
1.1y = 8.8
y = 8
x = 18 - y = 18 - 8
x = 10
