SOLUTION: Using Echelon method Blake Allvine spent $35.97 downloading 33 songs from iTunes. the new releases cost $1.29 each, while older songs cost $0.99 each. How many new releases and ho

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Using Echelon method Blake Allvine spent $35.97 downloading 33 songs from iTunes. the new releases cost $1.29 each, while older songs cost $0.99 each. How many new releases and ho      Log On


   

Question 1053551: Using Echelon method
Blake Allvine spent $35.97 downloading 33 songs from iTunes. the new releases cost $1.29 each, while older songs cost $0.99 each. How many new releases and how many older songs did Blake buy?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of new releases downloaded
Let +b+ = number of older songs downloaded
---------------------------------------------
(1) +a+%2B+b+=+33+
(2) +1.29a+%2B+.99b+=+35.97+
------------------------------
(2) +129a+%2B+99b+=+3597+
Multiply both sides of (1) by +99+
and subtract (1) from (2)
(2) +129a+%2B+99b+=+3597+
(1) +-99a+-+99b+=+-3267+
----------------------------
+30a+=+330+
+a+=+11+
and
(1) +a+%2B+b+=+33+
(1) +11+%2B+b+=+33+
(1) +b+=+22+
He bought 11 new releases
He bought 22 older songs
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I don't know what the echelon method is,
but this is the way I do it.