50kg of an alloy of lead and time contains 60% of lead . how much lead must be melted into it to mack the alloy contain 75% of lead ?
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Answer:
30 kg
Step-by-step explanation:
So whenever this kind of question are given ,
Quickly jot down the values u r given with ,
That is
50 kg of alloy +tin gives u with 60% of lead .
To find : how much lead to be added to make it 75%
So , let's find lead content ,
That is
50 × 60/100
= 30kg
Let's assume kg(s) of lead added to be x
Then , total weight of alloy would be = 50+x kg
Then , the weight of lead would increase by 30+x kg .
Now let's take out value of 75%
That is
75/100 = 0.75
Now,
30+x = 0.75(50+X)
30+x = 37.5+0.75x
x-0.75x = 37.5–30
0.25 = 7.5
x = 7.5/0.25
x = 30kg
Hence , 30kg should be added to make the content of lead as 75% .
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