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Question

Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5:3 and 1:2 respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio of 4:3. What is the ratio of the composition of the basic elements in alloy X?

A
1:1
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B
2:3
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C
5:2
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D
4:3
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Solution

The correct option is A 1:1
Proportion of two basic elements in alloy A = 5:3
Amount of first element = 55+3=58
Amount of second element = 35+3=38
Proportion of two basic elements in alloy B = 1:2
Amount of first element = 11+2=13
Amount of second element = 21+2=23
Proportion of two alloys A and B in new alloy X = 4:3
Let the actual amount of alloy A be 4y and alloy B be 3y
amount of first basic element in new alloy X
=58×4y+13×3y=7y2
Amount of second basic element in new alloy X
=38×4y+23×3y=7y2
So, the ratio of first basic element to second in new alloy X is,
7y2:7y2=1:1
Answer is option A

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