An empty truck weighs 2000 kg. After the truck was loaded, freight made up 80% of the weight of the loaded truck. At the first stop one fourth of the freight was unloaded. What percent of the loaded truck's weight did the load make up after that? (Hint: freight = load.)
A) 20%
B) 25%
C) 55%
D) 60%
E) 75%
d. 60perecnt
To solve this problem, we need to follow a few steps:
Step 1: Calculate the weight of the loaded truck
Since the freight makes up 80% of the weight of the loaded truck, we can calculate the weight of the loaded truck by dividing the weight of the empty truck by 0.8 (1 - 0.8 = 0.2, which represents the other 20% of the weight).
Weight of loaded truck = Weight of empty truck / 0.8 = 2000 kg / 0.8 = 2500 kg
Step 2: Calculate the weight of the unloaded freight at the first stop
Since one fourth of the freight was unloaded at the first stop, we can calculate the weight of the unloaded freight by multiplying the weight of the freight by 1/4 (or 0.25).
Weight of unloaded freight = Weight of freight * 0.25 = 2500 kg * 0.25 = 625 kg
Step 3: Calculate the weight of the remaining freight after unloading
To calculate the weight of the remaining freight, we need to subtract the weight of the unloaded freight from the weight of the loaded truck.
Weight of remaining freight = Weight of loaded truck - Weight of unloaded freight = 2500 kg - 625 kg = 1875 kg
Step 4: Calculate the percent of the loaded truck's weight that the load makes up after unloading
To calculate the percent, we need to divide the weight of the remaining freight by the weight of the loaded truck and multiply by 100.
Percent of loaded truck's weight = (Weight of remaining freight / Weight of loaded truck) * 100 = (1875 kg / 2500 kg) * 100 = 0.75 * 100 = 75%
Therefore, the answer is E) 75%.