Solve for x: x/250 = 3/500

Rationale

x = 1.5

To solve the equation x/250 = 3/500, we can cross-multiply to find x. Doing so gives us x = (3/500) * 250, which simplifies to 1.5.

A (1.5) CORRECT

This is the correct answer. Cross-multiplying the original equation, we have 500x = 750, leading to x = 750/500 = 1.5. This calculation confirms that x is indeed equal to 1.5.

B (25.5) YOUR ANSWER

This option does not satisfy the equation. If we substitute x = 25.5 back into the equation, (25.5/250) simplifies to 0.102, which does not equal (3/500) or 0.006. Hence, 25.5 is incorrect.

C (1500) YOUR ANSWER

Substituting x = 1500 into the equation gives (1500/250) = 6, which is not equal to (3/500). This significant mismatch shows that 1500 is not a solution to the equation.

D (2.5) YOUR ANSWER

If we substitute x = 2.5 into the equation, (2.5/250) simplifies to 0.01, which is not equal to (3/500) or 0.006. This demonstrates that 2.5 does not satisfy the equation.

Conclusion

The value of x that solves the equation x/250 = 3/500 is 1.5. The other options do not satisfy the equality when substituted back into the original equation, confirming that 1.5 is the only correct solution.

Solve for x: x/250 = 3/500

x = 1.5

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test