SOLUTION: Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least how many hours does he need to tutor to make more than

Algebra ->  Absolute-value -> SOLUTION: Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least how many hours does he need to tutor to make more than       Log On


   



Question 971529: Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least how many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream.
Atlas how many hours does Trevor need to tutor to make more then $180?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+15x+%2B+10y+%3E+180+
+x+%2B+y++=+15+
+y+=+15+-+x+
----------------
by substitution:
+15x+%2B+10%2A%28+15+-+x+%29+%3E+180+
+15x+%2B+150+-+10x+%3E+180+
+5x+%3E+30+
+x+%3E+6+
He needs to tutor more than 6 hrs
----------------------
check:
+y+=+15+-+x+
+y+=+15+-+6+
+y+=+9+
+15x+%2B+10y+%3E+180+
+15x+%2B+10%2A9+%3E+180+
+15x+%3E+90+
+x+%3E+6+
OK