SOLUTION: you paid $31 to ship 8 packages. the small packages ship for $3.50 each, the large package ship for $5 each. how many of each did you ship?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: you paid $31 to ship 8 packages. the small packages ship for $3.50 each, the large package ship for $5 each. how many of each did you ship?      Log On


   



Question 1057529: you paid $31 to ship 8 packages. the small packages ship for $3.50 each, the large package ship for $5 each. how many of each did you ship?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Small and large packages = 8
Make small packages = x and large packages y
x + y = 8.......Eq(1)
3.5x + 5y = 31.......Eq(2)
Multiply Eq(1) by 3.5
3.5x + 3.5y = 28.......Eq(1)
3.5x + 5y = 31.........Eq(20
Subtract Eq(1) from Eq(2)
......1.5y = 3
.........y = 2
Substitute y = 2 into Eq(1)
x + y = 8
x + 2 = 8
x = 6
6 small parcels and 2 large parcels.
Hope this helps :-)