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19 Jun 2024, 11:57
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Classic mixture problem:
13 Sep 2025, 05:18
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Reasoning of the question.
X and Y..If together equally..they will have 12.5% of protein......
12.5% means...12.5 grams out of 100 means out of 100 ..37.5 grams
We are just short of .5 grams.. So the actual amount should be nearby,....
Now it can't be 160...Because more of 160 means that less of Y ..so the protein will decrease in this case....
Means Y should be slightly higher....Answer B...
However...Clarity on it numerically....
Every 10 grams of mixture X adds 1 gram of protein X (lets just give the names for better understandin)
and Every 10 grams of mixture Y adds 1.5 grams of Protein Y...
Means when you remove 10 grams of X..You are removing 1 gram and then adding 1.5 grams.....for every 10 grams of X removed and Y added...
Since we are .5 short of 38 means we have to remove X by 10 gram and add Y by 10 gram..hence X is 140. B
X and Y..If together equally..they will have 12.5% of protein......
12.5% means...12.5 grams out of 100 means out of 100 ..37.5 grams
We are just short of .5 grams.. So the actual amount should be nearby,....
Now it can't be 160...Because more of 160 means that less of Y ..so the protein will decrease in this case....
Means Y should be slightly higher....Answer B...
However...Clarity on it numerically....
Every 10 grams of mixture X adds 1 gram of protein X (lets just give the names for better understandin)
and Every 10 grams of mixture Y adds 1.5 grams of Protein Y...
Means when you remove 10 grams of X..You are removing 1 gram and then adding 1.5 grams.....for every 10 grams of X removed and Y added...
Since we are .5 short of 38 means we have to remove X by 10 gram and add Y by 10 gram..hence X is 140. B
tinman1412
17 Sep 2025, 02:15
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Let x be Feed X and y be Feed Y
0.1x + 0.15y = 38
x + y = 300
x = 300 − y
Substitute:
0.1(300 − y) + 0.15y = 38
30 − 0.1y + 0.15y = 38
0.05y = 8
y = 160 grams
Then x = 300 − 160 = 140 grams
Answer: B
0.1x + 0.15y = 38
x + y = 300
x = 300 − y
Substitute:
0.1(300 − y) + 0.15y = 38
30 − 0.1y + 0.15y = 38
0.05y = 8
y = 160 grams
Then x = 300 − 160 = 140 grams
Answer: B
