Ratio and Proportion: 240 : X = 80 : 0.8 (Enter a numeric value only.)

Rationale

240 : X = 80 : 0.8 implies X = 2.4.

To solve for X in the ratio equation, we can use cross-multiplication. By setting up the equation as 240 * 0.8 = 80 * X, we find that X equals 2.4 after performing the necessary calculations.

A (2.4) CORRECT

This choice is correct as it is derived from the equation 240 * 0.8 = 80 * X. Simplifying this gives X = 240 * 0.8 / 80, which simplifies to 2.4.

B (3.2) YOUR ANSWER

This option is incorrect because substituting 3.2 into the equation would not satisfy the balance of the ratios. If X were 3.2, the left side would equal 240 * 0.8, and the right side would equal 80 * 3.2, resulting in different values.

C (4) YOUR ANSWER

Choosing 4 for X leads to an imbalance in the equation. Substituting it gives 240 * 0.8 = 80 * 4, which evaluates to 192 = 320, clearly not true. Hence, this choice does not satisfy the ratio.

D (1.6) YOUR ANSWER

If X is 1.6, the equation 240 * 0.8 = 80 * 1.6 becomes 192 = 128, which is also incorrect. Thus, this option does not hold up when checked against the original ratio.

Conclusion

The solution to the ratio and proportion problem is 2.4, which is derived from correctly applying cross-multiplication to the given ratios. Choices 3.2, 4, and 1.6 do not satisfy the equation, demonstrating the importance of precise calculations in solving ratio problems.

Ratio and Proportion: 240 : X = 80 : 0.8 (Enter a numeric value only.)

240 : X = 80 : 0.8 implies X = 2.4.

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