Question

In January 1, Juan weighed 247 pounds and decided to diet and exercise. Kn June 30, Juan weighed 221 pounds. Determine the percent decrease in Juans weight from January 1 to June 30.

Answer 1

Juan's weight decreased by approximately 10.53% over the six-month period from January 1 to June 30, calculated by finding the difference in his weight and dividing by the original weight, then converting to a percentage.

Step-by-step explanation:

To determine the percent decrease in Juan's weight from January 1 to June 30, we use the formula for percentage decrease, which is ((Original Weight - New Weight) / Original Weight) * 100%. Juan's original weight was 247 pounds, and his new weight on June 30 was 221 pounds. Subtracting these gives us the weight loss: 247 - 221 = 26 pounds.

Next, divide the weight loss by the original weight: 26 / 247 ≈ 0.1053. To get the percentage, we multiply by 100, giving us ≈ 10.53%. Therefore, the percent decrease in Juan’s weight over the six-month period is approximately 10.53%.

Step-by-step calculation:

1. 
   
3. Calculate the difference in weight: 247 pounds - 221 pounds = 26 pounds.
4. 
   
6. Divide the weight loss by the original weight: 26 / 247 ≈ 0.1053.
7. 
   
9. Convert the decimal to a percentage: 0.1053 * 100% ≈ 10.53%.

Answer 2

Given the initial value, w1, and the final value, w2, the percent decrease can be calculated as:

`P=(w_1-w_2)/(w_1)*100\%`

The initial value is 247 and the final one is 221, so:

`\begin{gathered} P=(247-221)/(247)*100\% \\ P=(26)/(247)*100\% \\ P=0.10526\ldots*100\% \\ P\approx10.53\% \end{gathered}`

So, the percent decrease is approximately 10.53%.