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 4:3. What is the ratio of the composition of the two basic elements in alloy X?  Choose the correct answer:  A) 1:1  B) 2:3  C) 5:2  D) 4:3  E) None of these
Explanation :   Let,the actual amount of A and B be 4x and 3x respectively.   Amount of 1st basic element in the new alloy T is (5/8)*4x + (1/3)*3x = (7x)/2.   Similarly, the amount of 2nd basic element in the new alloy T is (3/8)*4x + (2/3)*3x= (7x)/2.   So, the ratio of 1st basic element to 2nd basic element is [(7x)/2 ] / [ 7x/2] = 1/1= 
<gadget id="calculator">1/1</gadget>
<output>1</output>
1:1.   1:1nswer : 1:1
<result>A</result>
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 4:3. What is the ratio of the composition of the two basic elements in alloy X?