23. A gold biscuit of 11 kg contained only 82% gold and the rest copper. If it was alloyed with another gold biscuit and the resulting
alloy had a mass of 28 kg and contained 90% of gold. Find the percentage of gold in the second biscuit
A) 94.5%
D) 96.8%
B) 93.2%
C) 95.2%
than their abilities would allow
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Answer:
A 94.5% of gold is use in second biscuit
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Step-by-step explanation:
weight of gold in 11 kg of biscuit=(82 % of 11 kg)
=(82÷100)×11=9.02 kg
weight of gold in 28 kg of alloy =(90% of 28 kg) =(90÷100)×28=25.2 kg
weight of second buiscuit=weight of alloy - weight of first buiscuit
=28 kg - 11 kg
=17 kg
weight of gold in second buiscuit= weight of biscuit in alloy - weight of gold in first biscuit
=25.2kg -9.02kg
=16.18 kg gold
% of gold in second buiscuit=(weight of gold in second biscuit ÷ weight of second biscuit) ×100
=(16.18÷17)×100
=95.2%
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