Question 28

n = 56

To find the value of n, we can cross-multiply the equation n/35 = 8/5, resulting in n = (8/5) * 35, which simplifies to n = 56.

A) 40

This option is incorrect because substituting n = 40 back into the equation results in 40/35, which does not equal 8/5. The calculation shows that 40/35 simplifies to 8/7, which is not equivalent to 8/5.

B) 42

This option is also incorrect. If we substitute n = 42 into the equation, we find that 42/35 simplifies to 6/5, which is not equal to 8/5. Therefore, this does not satisfy the original equation.

C) 48

Choosing n = 48 results in 48/35, which simplifies to a fraction of approximately 1.3714. When compared to 8/5, which equals 1.6, it is clear that 48 does not satisfy the equation.

D) 56

This is the correct option. When we substitute n = 56 back into the equation, we calculate 56/35, which simplifies to 8/5, thereby confirming that this value satisfies the original equation perfectly.

Conclusion

The correct answer, n = 56, satisfies the equation n/35 = 8/5 through accurate cross-multiplication. All other options fail to meet this requirement, as they result in fractions that do not equal 8/5 when substituted back into the equation. Thus, option D is definitively the right choice.