two types of boxes a,b are to be place in a truck having capacity of 10 tons . when 150 boxes of type a and 100 boxes of type b are loaded in the truck , it weighes 10 tons . but when 260 boxes of type a are loaded in the truck , itcan still accommodate 40 boxes of type b , so that it is fully loaded . find the weight of each type of box

two types of boxes a,b are to be place in a truck having capacity of 1

1.	two types of boxes a,b are to be place in a truck having capacity of 10 tons . when 150 boxes of type a and 100 boxes of type b are loaded in the truck , it weighes 10 tons . but when 260 boxes of type a are loaded in the truck , itcan still accommodate 40 boxes of type b , so that it is fully loaded . find the weight of each type of box
Answer» Solution: ATQ, 150A+100B= 10 tons. =>15A+10B= 1.....(1) Now according to second condition, =>260A+ 40 B= 10 => 26A+ 4B= 1....(2) solving 1 &2 by elimination method. multiply 1 with 2 and 2 with 5. we get. =>30A+20B= 2.....(3) =>130A+ 20B= 5.....(4) Now,subtract 3 from 4. =>-100A= -3 => A= 3/100 tones. putting the value of A. in 1 => 15*3/100+4B= 1 => 9/20+4B=1 => (9+80B)/20=1 => 9+80B=20 => 80B= 11 => B= 11/80 __________________