SOLUTION: Round your answer to the nearest tenth. Round dollar amounts to the nearest cent Sarah worked 10 more hours than Josh. If Sarah worked 7 hr for every 2 hr Josh worked, how lon

Algebra ->  Proportions -> SOLUTION: Round your answer to the nearest tenth. Round dollar amounts to the nearest cent Sarah worked 10 more hours than Josh. If Sarah worked 7 hr for every 2 hr Josh worked, how lon      Log On


   

Question 1048860: Round your answer to the nearest tenth. Round
dollar amounts to the nearest cent
Sarah worked 10 more hours than Josh. If Sarah worked 7 hr for every 2 hr
Josh worked, how long did they each work?
Please show steps thank you
Found 2 solutions by josmiceli, solver91311:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = hours Sarah worked
Let +j+ = hours Josh worked
-------------------------------
(1) +s+=+j+%2B+10+
(2) +s%2Fj+=+7%2F2+
-------------------
Multiply both sides of (2) by +2j+
(2) +2s+=+7j+
Substitute (1) into (2)
(2) +2%2A%28+j+%2B+10+%29+=+7j+
(2) +2j+%2B+20+=+7j+
(2) +5j+=+20+
(2) +j+=+4+
and
(1) +s+=+j+%2B+10+
(1) +s+=+4+%2B+10+
(1) +s+=+14+
-------------------
Sarah worked 14 hrs
Josh worked 4 hrs

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of hours Josh worked. Then is the number of hours Sarah worked.

These two expressions are in ratio of .



Solve for then calculate

John

My calculator said it, I believe it, that settles it