Question 301972
The weight of a truck without load is 2000 kg. Today the load represents initially 80% of the total weight. At the first stop, they discharge a quarter of the load. What percentage of the total weight does then the load represent? 

Let the weight of the truck be W, and the weight of the load L 


Then W + 0L = 2,000, or W = 2,000 


Since the load today initially represents 80% of the total weight, then we can say that: L = .8(W + L), but with W = 2,000, we get: L = .8(2,000 + L)


L = 1,600 + .8L 
L - .8L = 1,600
.2L = 1,600
L = 8,000 


Since {{{1/4}}} of the load was discharged, then {{{(1/4) * 8000}}}, or 2,000 kg was discharged. 


Now, with 2,000 kg being discharged, and the original weight being 10,000 kg (weight of truck = 2,000 kg, and initial load = 8,000), then the discharged load (2,000 kg) represents {{{2000/10000}}} or {{{highlight_green(20 percent)}}} of the initial total weight (10,000 kg), and which is CHOICE A.


Send comments and “thank-yous” to MathMadEzy@aol.com