Able and bill are two friends. Able is carrying silver and bill is carrying gold. They prepare a mixture by mixing metals in proportions 7:2 and 7:11 respectively. If equal quantities of the two metals are melted to form an alloy , the proportion of silver and gold in the alloy will be?
Answers
Concept:
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
Given:
Able and bill are two friends. Able is carrying silver and bill is carrying gold. They prepare a mixture by mixing metals in proportions 7:2 and 7:11 respectively. If equal quantities of the two metals are melted to form an alloy
Find:
the proportion of silver and gold in the alloy will be?
Solution:
Suppose they mix one kg of gold and one kg of silver
1st mixture contains 7/9 of silver and 2/9 of gold
2nd mixture contains 7/18 of silver and 11/18 of gold
The silver and gold final mixture
=7/9+7/18 :2/9+11/18
= 21/18:1518
=21::15
=7:5
Therefore, the gold and silver is mixed in the ratio 7:5
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