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.)
A.
20%
B.
13%
C.
11%
D.
9%
To find the percentage of weight lost, use the following formula:Percent Weight Loss=(Initial Weight−Final WeightInitial Weight)×100\text{Percent Weight Loss} = \left( \frac{\text{Initial Weight} – \text{Final Weight}}{\text{Initial Weight}} \right) \times 100Percent Weight Loss=(Initial WeightInitial Weight−Final Weight)×100
- Identify the weights:
- Initial Weight = 180 lb
- Final Weight = 160 lb
- Calculate the weight lost:Weight Lost=180−160=20 lb\text{Weight Lost} = 180 – 160 = 20 \text{ lb}Weight Lost=180−160=20 lb
- Calculate the percentage of weight lost:Percent Weight Loss=(20180)×100\text{Percent Weight Loss} = \left( \frac{20}{180} \right) \times 100Percent Weight Loss=(18020)×100 Percent Weight Loss=20180≈0.1111\text{Percent Weight Loss} = \frac{20}{180} \approx 0.1111Percent Weight Loss=18020≈0.1111 Percent Weight Loss≈0.1111×100=11.11%\text{Percent Weight Loss} \approx 0.1111 \times 100 = 11.11\%Percent Weight Loss≈0.1111×100=11.11%Rounding to the nearest percent gives 11%.
Therefore, the percent of weight lost over 3 months is:
C. 11%