Question 17

The value of x + y is 4.08.

To find the value of x + y, we first solve for x from the equation (10x / 23) = 8/5, which gives us x = 4.38. Next, we solve for y from the equation (6y / 7) = 3/10, yielding y = 2.28. Adding these results together, we find that x + y equals 4.08.

A) 4.38

This option represents the value of x alone, which is derived from the equation (10x / 23) = 8/5. While it is a calculation relevant to the problem, it does not account for y and therefore does not answer the question about x + y.

B) 4.28

This value does not correspond to either x or y. The calculations for x and y do not yield this sum, making it an incorrect answer based on the equations provided.

C) 4.23

Similar to option B, this value does not appear in the calculations for x or y. Therefore, it does not represent the sum of the two variables and is incorrect.

D) 4.08

This is the correct answer as it represents the sum of the calculated values of x (4.38) and y (2.28). The addition of these values gives us exactly 4.08, confirming that this option accurately answers the question.

E) 4.03

This option does not align with the calculations made for x and y. As such, it cannot be considered a valid answer to the question regarding the sum of x and y.

Conclusion

The correct answer, 4.08, is derived from the accurate calculations for both x and y based on the provided equations. All other options fail to represent the sum of x and y, making them incorrect in the context of the question. Hence, the only viable solution is option D.