SOLUTION: 3 siblings committed themselves to volunteer 130 hours dave kate worked 10 hrs fewer than dave sarah worked 20 hrs more than dave how many hrs did each sibling volunte

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 3 siblings committed themselves to volunteer 130 hours dave kate worked 10 hrs fewer than dave sarah worked 20 hrs more than dave how many hrs did each sibling volunte      Log On


   

Question 838825: 3 siblings committed themselves to volunteer 130 hours
dave
kate worked 10 hrs fewer than dave
sarah worked 20 hrs more than dave
how many hrs did each sibling volunteer?
thanks in advance
dean
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

kate worked 10 hrs fewer than dave highlight_green%28x%29 hrs

 sarah worked 20 hrs more than dave highlight_green%28x%29 hrs

Question states***3 siblings committed themselves to volunteer 130 

 (x-10hrs) + (x+20hrs) + xhrs = 130hr

    3x = 120hrs

     x = 40hrs, the number of hours Dave worked.

Kate worked 30hrs and Sarah worked 60hrs

CHECKING our answer***

 40hrs + 30hrs + 60hrs = 130hrs

Wish You the Best in your Studies.