SOLUTION: 1230 baskets of mangoes were loaded in 3 trucks. When unloaded, it was found that 5, 10 and 15 baskets were rotten in the trucks respectively. But the remaining baskets were in the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 1230 baskets of mangoes were loaded in 3 trucks. When unloaded, it was found that 5, 10 and 15 baskets were rotten in the trucks respectively. But the remaining baskets were in the      Log On


   

Question 809512: 1230 baskets of mangoes were loaded in 3 trucks. When unloaded, it was found that 5, 10 and 15 baskets were rotten in the trucks respectively. But the remaining baskets were in the ratio 3:4:5. How many baskets were loaded initially in each truck?
The given answers are
575; 515; 565; none
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I will define my variable as follows:
3x= amount of not rotten baskets unloaded from truck #1, along with 5 rotten baskets.
Because the amounts of not rotten baskets were in the ratio 3:4:5,
4x= amount of not rotten baskets unloaded from truck #2, along with 10 rotten baskets, and
5x= amount of not rotten baskets unloaded from truck #3, along with 15 rotten baskets.
So,
3x%2B5= number of baskets (rotten or not rotten) initially loaded on truck #1,
4x%2B10= number of baskets (rotten or not rotten) initially loaded on truck #2, and
5x%2B15= number of baskets (rotten or not rotten) initially loaded on truck #3.
The total amount of baskets (rotten and not rotten) unloaded from the three trucks was
%283x%2B5%29%2B%284x%2B10%29%2B%285x%2B15%29=1230 .
That is the equation to be solved.
%283x%2B5%29%2B%284x%2B10%29%2B%285x%2B15%29=1230
3x%2B5%2B4x%2B10%2B5x%2B15=1230
3x%2B4x%2B5x%2B5%2B10%2B15=1230
%283x%2B4x%2B5x%29%2B%285%2B10%2B15%29=1230
%283%2B4%2B5%29x%2B30=1230
12x%2B30=1230
12x%2B30-30=1230-30
12x=1200
12x%2F12=1200%2F12
x=100
So,
3x%2B5=3%2A100%2B5=305= number of baskets (rotten or not rotten) initially loaded on truck #1,
4x%2B10=4%2A100%2B10=410= number of baskets (rotten or not rotten) initially loaded on truck #2, and
5x%2B15=5%2A100%2B15=highlight%28515%29= number of baskets (rotten or not rotten) initially loaded on truck #3.

Something was lost in translation or transcription.

From the description of the problem I understand the following:
1) The amounts of baskets loaded on each of the 3 trucks are not necessarily the same.
2) When unloaded, it was found that 5 baskets on truck number 1, 10 baskets on truck number 2, and 15 baskets on truck number 3 were rotten.
2) The number of remaining (not rotten) baskets on each truck were different, with the amounts on trucks 1, 2, and 3 in the ratio 3:4:5.

That tells me that the amounts of baskets initially loaded on each of the 3 trucks had to be different.
The given answers are single numbers.
Neither one of them could be an amount of baskets "loaded on each truck", meaning that the same amount of baskets was loaded on each truck.
The given answers must refer to the third truck, which should be the one loaded with the most baskets.