SOLUTION: in one week, a music store stold 9 guitars fora total of $3611. electric guitars sold for $479 each and acoustic guitars sold for $339 each. how many of each type of guitar were s

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: in one week, a music store stold 9 guitars fora total of $3611. electric guitars sold for $479 each and acoustic guitars sold for $339 each. how many of each type of guitar were s      Log On


   

Question 511519: in one week, a music store stold 9 guitars fora total of $3611. electric guitars sold for $479 each and acoustic guitars sold for $339 each. how many of each type of guitar were sold?
so far i got (3611)(9)=479e+338a
e=electric
a=acoustic
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
You have to keep the counts of the items separate from their values.
.
a = number of acoustic guitars
339a = value of the acoustic guitars
.
e = number of electric guitars
479e = value of electric guitars
.
a + e = 9 guitars sold
so
a = 9-e
.
339a + 479e = 3611
.
substitute a=9-e
.
339(9-e) + 479e = 3611
.
3051 -339e +479e = 3611
.
140e = 3611-3051
.
140e = 560
.
e = 4
.
a = 9-e
.
a = 9-4
.
a = 5
.
Check the values to be sure this is the right answer.
339*5 + 479*4 = ??
339*5 + 479*4 = 3611
Correct.
.
Answer: They sold 4 electric guitars and 5 acoustic guitars.
.
Done.