SOLUTION: Emily is a tutor. She tutors English and Math. An hour of English cost $22 and an hour of Math is $40. Renee's dad hired her for 11 hours and paid $368. Write a system of equation

Algebra ->  Graphs -> SOLUTION: Emily is a tutor. She tutors English and Math. An hour of English cost $22 and an hour of Math is $40. Renee's dad hired her for 11 hours and paid $368. Write a system of equation      Log On


   



Question 1005595: Emily is a tutor. She tutors English and Math. An hour of English cost $22 and an hour of Math is $40. Renee's dad hired her for 11 hours and paid $368. Write a system of equations and solve it.



Thank you!!

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Renee's dad hired her for 11 hours and paid $368.
let the number hours of English be x and the number hours of Math be y
if Renee's dad hired tutor for 11 hours, then
x%2By=11.......eq.1
if an hour of English cost $22 and an hour of Math is $40, and Renee paid $368, we have
22x%2B40y=368..........eq.2
solve the system:
x%2By=11.......eq.1 .............both sides multiply by 22
22x%2B40y=368..........eq.2
-----------------------------------
22x%2B22y=242.......eq.1
22x%2B40y=368..........eq.2
-----------------------------------..............subtract eq.1 from eq.2
22x%2B40y-22x-22y=368-242
18y=126
y=126%2F18
highlight%28y=7%29
now find x

x%2By=11.......eq.1
x%2B7=11
x=11-7
highlight%28x=4%29
Renee's dad paid $4%2A22=88 for English and $7%2A40=280 for Math which make total of $88%2B280=368