SOLUTION: Denise, Evelyn and Fran work at a convenience store. They earn a hourly rate of $8. In one week , Denise worked 4 hours more the Evelyn whereas Fran worked 9 hours less than Denise

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Denise, Evelyn and Fran work at a convenience store. They earn a hourly rate of $8. In one week , Denise worked 4 hours more the Evelyn whereas Fran worked 9 hours less than Denise      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 171751: Denise, Evelyn and Fran work at a convenience store. They earn a hourly rate of $8. In one week , Denise worked 4 hours more the Evelyn whereas Fran worked 9 hours less than Denise. Together, they earned a total salary of $856. What was Fran's salary that week?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
856/8=107 ARE THE TOTAL HOURS WORKED BY ALL THREE.
D=E+4 OR E=D-4
F=D-9
E+F+D=107
(D-4)+(D-9)+D=107
3D-13=107
3D=107+13
3D=120
D=120/40 HOURS FOR DENISE.
40=E+4
E=40-4
E=36 HOURS.
F=40-9
F=31 HOURS.
40+36+31=107
107=107 TOTAL HOURS.
40*8+36*8+31*8=856
320+288+248=856
856=856
31*8=$248 WAS FRAN'S SALARY.