Multiple choice

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?

  1.  $1 : 1$
  2. $2 : 3$
  3. $5 : 2$
  4. $4 : 3$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Alloy A: 5/8 and 3/8. Alloy B: 1/3 and 2/3. Mixing 4 parts A and 3 parts B: Total parts = 7. Element 1 = (4 * 5/8 + 3 * 1/3) / 7 = (2.5 + 1) / 7 = 3.5 / 7 = 0.5. Element 2 = (4 * 3/8 + 3 * 2/3) / 7 = (1.5 + 2) / 7 = 3.5 / 7 = 0.5. Ratio is 1:1.

AI explanation

Assume 4 parts of alloy A and 3 parts of alloy B are combined to form alloy X. In alloy A, the two elements are in a 5 to 3 ratio, meaning out of 4 parts, the first element is 4 multiplied by 5 divided by 8, which equals 2.5 parts. In alloy B, the two elements are in a 1 to 2 ratio, meaning out of 3 parts, the first element is 3 multiplied by 1 divided by 3, which equals 1 part. The total amount of the first element in alloy X is 2.5 plus 1, giving 3.5 parts out of a total of 7 parts, making the ratio of the first element to the second element 3.5 to 3.5, or 1 to 1.

Keep practicing — related questions