20. Solve for x: x/250 = 3/500
Answer: A
x equals 1.5
To solve for x in the equation x/250 = 3/500, we can cross-multiply to find that x equals 1.5.
A) 1.5
This option is correct because when we cross-multiply the equation x/250 = 3/500, we get 500x = 750. Dividing both sides by 500 results in x = 750/500, which simplifies to 1.5.
B) 25.5
This option is incorrect as it does not satisfy the equation. If we substitute 25.5 into the original equation, we find that 25.5/250 does not equal 3/500.
C) 1500
This option is also incorrect. Substituting 1500 into the equation gives 1500/250, which equals 6, not 3/500. Therefore, it does not satisfy the equation.
D) 2.5
This option is incorrect as well. If we substitute 2.5 into the equation, we get 2.5/250, which simplifies to 0.01, not equal to 3/500.
Conclusion
The only option that correctly solves the equation is A) 1.5. All other options fail to satisfy the equation when evaluated, confirming that 1.5 is the definitive solution for x in this problem.