SOLUTION: Juanita and Keenan own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlights ordered was five times the number of sleeping ba

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Juanita and Keenan own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlights ordered was five times the number of sleeping ba      Log On


   



Question 210357: Juanita and Keenan own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlights ordered was five times the number of sleeping bags. The flashlights cost $12 each and the sleeping bags cost $45 each. If the total cost for the flashlights and sleeping bags was $1785, how many flashlights and how many sleeping bags did Juanita and Keenan order?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let F = number of flashlights at $12 each and B = number of sleeping bags at $45 each.
F = 5B "The number of flashlight (F) ordered was five times the number of sleeping bags (5B)."
($12)F + ($45)B = $1785 "...the total cost was $1785,..." Substitute F = 5B.
12(5B)+45B = 1785 Simplify and solve for B.
60B+45B = 1785
105B = 1785 Divide both sides by 105.
B = 17 and...
F = 5B
F = 5(17)
F = 85
17 sleeping bags and 85 flashlights were ordered.