Find x: 40:5 = 60:x

Rationale

x equals 7.5 in the proportion 40:5 = 60:x.

To solve the proportion, we can set it up as a cross-multiplication: 40 * x = 5 * 60. This simplifies to 40x = 300, leading to x = 300 / 40, which equals 7.5.

A (7.5) CORRECT

This is the correct answer, as calculated from the proportion. By cross-multiplying 40 and x, and setting it equal to 5 times 60, we find that x must be 7.5 to maintain the equality of the ratios.

B (1.5) YOUR ANSWER

This value does not satisfy the equation. If we substitute 1.5 into the proportion, we would have 40:5 = 60:1.5, which simplifies to 8 = 40, a false statement. Therefore, 1.5 cannot be the solution for x.

C (12) YOUR ANSWER

Substituting 12 into the proportion results in 40:5 = 60:12, simplifying to 8 = 5, which is incorrect. This incorrect equality shows that 12 does not satisfy the requirement of the proportion.

D (15) YOUR ANSWER

Using 15 in the proportion gives 40:5 = 60:15, which simplifies to 8 = 4, another false statement. This means 15 is not a correct value for x in this proportion.

Conclusion

In solving the proportion 40:5 = 60:x, we determined that x must equal 7.5 to maintain the equality of the ratios. The other options do not satisfy the relationship established by the proportion, confirming 7.5 as the only valid solution. Thus, understanding how to manipulate proportions is crucial for solving such equations correctly.

Find x: 40:5 = 60:x

x equals 7.5 in the proportion 40:5 = 60:x.

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