High School

Deb weighed 184 pounds two months ago. She now weighs 163 pounds. What was Deb's percentage of weight lost?

Answer :

Sure, let's go through the steps to find Deb's percentage of weight lost.

1. Understand the Given Information:
- Initial weight of Deb: 184 pounds
- Current weight of Deb: 163 pounds

2. Find the Amount of Weight Lost:
We can find this by subtracting the current weight from the initial weight:
[tex]\[
\text{Weight Lost} = \text{Initial Weight} - \text{Current Weight}
\][/tex]
[tex]\[
\text{Weight Lost} = 184 \, \text{pounds} - 163 \, \text{pounds} = 21 \, \text{pounds}
\][/tex]

3. Calculate the Percentage of Weight Lost:
The percentage of weight lost can be found using the formula:
[tex]\[
\text{Percentage of Weight Lost} = \left( \frac{\text{Weight Lost}}{\text{Initial Weight}} \right) \times 100
\][/tex]
Plugging in the values:
[tex]\[
\text{Percentage of Weight Lost} = \left( \frac{21}{184} \right) \times 100 \approx 11.413\%
\][/tex]

So, Deb lost 21 pounds, which is approximately 11.413% of her initial weight.