Problema Solution
a truck contained 35 boxes, some weighing 6 pounds and the rest weighing 10 pounds. if the total weight of the boxes was 262 pounds, find the number of each type of box in the truck.
Answer provided by our tutors
let
x = the number of boxes that weight 6 lbs
y = the number of boxes that weight 10 lbs
a truck contained 35 boxes
x + y = 35
the total weight of the boxes was 262 pounds
6x + 10y = 262
by solving the system of equations
x + y = 35
6x + 10y = 262
we find
x = 22 boxes of 6 lbs
y = 13 boxes of 10 lbs
click here to see the step by step solution of the system of equations
there are 22 boxes of 6 pounds and 13 boxes of 10 pounds in the truck.