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- Platinum is 19 times as heavy as bronze and silver is 9 times as heavy as bronze.
Question 1:
Platinum is 19 times as heavy as bronze and silver is 9 times as heavy as bronze. In what ratio these two metals be mixed so that the alloy is 15 times as heavy as bronze is A. 3 : 2
Feedback Let the proportion of weight of platinum in the mixture = x
then the proportion of weight of silver in the mixture = 1 - x
According to the question
19 X x + 9 (1 - x) = 15 X 1
19x + 9 - 9x = 15
10x = 15 - 9 = 6
x = 6/10 = 3/5
Therefore the proportion of weight of platinum in the mixture = x = 3/5
and the proportion of weight of silver in the mixture = 1 - x = 1 - 3/5 = 2/5
The required ratio of platinum : silver = 3/5 : 2/5 = 3 : 2
then the proportion of weight of silver in the mixture = 1 - x
According to the question
19 X x + 9 (1 - x) = 15 X 1
19x + 9 - 9x = 15
10x = 15 - 9 = 6
x = 6/10 = 3/5
Therefore the proportion of weight of platinum in the mixture = x = 3/5
and the proportion of weight of silver in the mixture = 1 - x = 1 - 3/5 = 2/5
The required ratio of platinum : silver = 3/5 : 2/5 = 3 : 2
B. 1 : 2
C. 3 : 4
D. 2 :5
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