Last week, the total weight of the members of a weight loss support group was 3,840 pounds. This week, it was 3,648 pounds. What percent lighter is the group now?

To determine what percent lighter the group is this week compared to last week, we need to calculate the percent decrease in the group's total weight.

1. **Last week's total weight:** 3,840 pounds
2. **This week's total weight:** 3,648 pounds

The formula to calculate the percent decrease is:

\[
\text{Percent Decrease} = \frac{\text{Initial Value} - \text{New Value}}{\text{Initial Value}} \times 100\%
\]

Substituting the given values:

\[
\text{Percent Decrease} = \frac{3840 - 3648}{3840} \times 100\%
\]

Simplify the calculation:

\[
\text{Percent Decrease} = \frac{192}{3840} \times 100\%
\]

\[
\text{Percent Decrease} = 0.05 \times 100\% = 5\%
\]

So, the group is **5%** lighter this week compared to last week.

Would you like more details or have any questions? Here are some related questions:

1. How do you calculate percentage increase in weight?
2. What is the difference between absolute weight loss and percentage weight loss?
3. How would you calculate the average weight loss per person if you knew the number of people in the group?
4. Can percent decrease ever be greater than 100%?
5. How do you track and calculate weight loss over multiple weeks?

**Tip:** When dealing with weight loss percentages, always make sure to subtract the correct values and use the original weight as the baseline for your calculations.

Learn how to calculate percent decrease using a weight loss support group example. Understand the formula (Initial Value - New Value) / Initial Value * 100% and solve the problem where last week, the group weighed 3,840 pounds and this week they weigh 3,648 pounds. Suitable for Grades 6-8.

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