A person weighed themselves at 180 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)

Rationale

The person lost 20% of their weight over 3 months.

To calculate the percentage of weight loss, the difference in weight is divided by the original weight, then multiplied by 100. In this case, the difference in weight is 180 lb - 160 lb = 20 lb. Thus, (20 lb / 180 lb) * 100 = 11.11%, which rounds to 11%.

A (13%) YOUR ANSWER

This is incorrect because it is higher than the calculated percentage. The actual percentage of weight loss is less than 13%.

C (10%) YOUR ANSWER

This is incorrect because it is lower than the calculated percentage. The actual percentage of weight loss is more than 10%.

D (5%) YOUR ANSWER

This answer is also incorrect because it is significantly lower than the calculated percentage. The actual percentage of weight loss is much more than 5%.

Conclusion

The correct answer is 20% weight loss over the three months. The other choices do not correctly represent the percentage of weight loss as they are either too high or too low when compared to the correct calculation. It's important to note that when calculating percentage change, we always use the starting value (in this case, the original weight) as the basis for our percentage calculation.

A person weighed themselves at 180 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)

The person lost 20% of their weight over 3 months.

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