word problems

Question

kathy works two part time jobs for a total of 28 hours a week. Job A pays $5.70 per hour, and Job B pays %7.40 per hour. how many hours did she work at each job the week that she made $191.90

Answer 1

Let x = the number of hours she works at job A

Let y = the number of hours she works at job B

 

x+y = 28  Solve for x:  x = 28-y

Substitute this value for x into the following equation:

5.70x + 7.40y = 191.90

5.7(28-y) + 7.4y = 191.9

159.6-5.7y+7.4y = 191.9 You could multiply both sides of the equation by 10 to remove the decimal points. This would give you:

1596-57y+74y = 1919

1596 + 17y = 1919

17y = 323

y = 19 hours                     x+19=28

                                                  x = 9 hours