Brian is working his way through school he works two part time jobs for a total of 20 hours a week job pays $6.20 per hour and job b pays $6.80 per hour how many hours did he work at each job the week that he made $130.60
Let's assume that Brian worked x hours at job A and y hours at job B.
Since Brian works a total of 20 hours per week, we can write the equation: x + y = 20. (Equation 1)
Now we need to use the given information that Brian made $130.60 in a week.
Brian's earnings from job A would be 6.20 * x, while his earnings from job B would be 6.80 * y.
So we have the equation: 6.20x + 6.80y = 130.60. (Equation 2)
Now we can solve this system of equations (Equation 1 and Equation 2).
Multiply Equation 1 by 6.20 to eliminate x:
6.20(x + y) = 6.20(20)
6.20x + 6.20y = 124. (Equation 3)
Subtract Equation 3 from Equation 2 to eliminate x:
(6.20x + 6.80y) - (6.20x + 6.20y) = 130.60 - 124
0.60y = 6.60
y = 11. (Equation 4)
Now substitute the value of y into Equation 1 to solve for x:
x + 11 = 20
x = 20 - 11
x = 9. (Equation 5)
Therefore, Brian worked 9 hours at job A and 11 hours at job B.