SOLUTION: the cost of the first lesson in a skiing program is one and a half times the cost of each additional lesson. How much did the first lesson cost if you spent $153 for eight lessons?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the cost of the first lesson in a skiing program is one and a half times the cost of each additional lesson. How much did the first lesson cost if you spent $153 for eight lessons?      Log On


   

Question 270949: the cost of the first lesson in a skiing program is one and a half times the cost of each additional lesson. How much did the first lesson cost if you spent $153 for eight lessons?
x +y=8
1.5x + y = $153 this is the part I can't figure out
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let 1.5a = cost of the 1st lesson
Then a = cost of each of the next 7 lessons
1.5a+%2B+7a+=+153
8.5a+=+153
a+=+18
The 1st lesson cost
1.5a+=+1.5%2A18
1.5a+=+27
The 1st lesson cost $27
check:
1.5a+%2B+7a+=+153
1.5%2A18+%2B+7%2A18+=+153
27+%2B+126+=+153
153+=+153
OK