SOLUTION: The Candy Shack sells a particular candy in two different size packages. One size sells for $1.25 and the other sells for $1.75. If the store received $65.50 for 42 packages of c

Algebra ->  Human-and-algebraic-language -> SOLUTION: The Candy Shack sells a particular candy in two different size packages. One size sells for $1.25 and the other sells for $1.75. If the store received $65.50 for 42 packages of c      Log On


   

Question 312551: The Candy Shack sells a particular candy in two different size packages. One size sells for $1.25 and the other sells for $1.75. If the store received $65.50 for 42 packages of candy, how many of each size were sold?
Found 2 solutions by JBarnum, checkley77:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
size of packages:
big=B also costs more then smaller package
small=S
B%2BS=42 : B=42-S
1.25S%2B1.75B=65.50
1.25S%2B1.75%2842-S%29=65.50
73.5-.50S=65.50
-.50S=-8
S=16
B=42-S
B=42-16
B=26
26 big sizes
16 small sizes

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
1.75x+1.25(42-x)=65.50
1.75x+52.50-1.25x=65.50
.50x=65.50-52.50
.50x=13
x=13/.50
x=26 number of $1.75 sizes sold.
42-26=16 number of $1.25 sizes sold.
Proof:
1.75*26+1.25*16=65.50
45.50+20,00=65.50
68.50=65.50