50 kg of an alloy of lead and tin contains 60%. Of lead . How much lead must be melted into it to make the alloy contain 75% of lead
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in 50 kg alloy , 60% contain lead
e.g 50 × 60/100 =30 kg contain lead
and rest (50-30) =20 kg contain tin .
let x kg lead melted into it .
then,
75% of lead ={ (30+x )/(50+x) } × 100
75/100 = (30 + x )/(50 + x )
3/4 =(30 + x)/(50 + x)
150 + 3x = 120 + 4x
30 =x
hence,
30 kg extra lead melted into it then alloy contains 75% of lead .
e.g 50 × 60/100 =30 kg contain lead
and rest (50-30) =20 kg contain tin .
let x kg lead melted into it .
then,
75% of lead ={ (30+x )/(50+x) } × 100
75/100 = (30 + x )/(50 + x )
3/4 =(30 + x)/(50 + x)
150 + 3x = 120 + 4x
30 =x
hence,
30 kg extra lead melted into it then alloy contains 75% of lead .
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