John weighs 200 pounds. He lost 10% of his weight.
Then he gained back 10% of his weight. How much
does John weigh now?
Your problem states that he weighs 200 pounds.
Or .10 x 200lbs = 20lbs lost so now he is healthy and weighs 180.
Ooooppps, he went off his diet and gained 10% or .10 x 180 = 18lbs added to 180. He is now unhealthy again and needs to get serious about staying fit.
To find out how much John weighs now, we need to follow these steps:
1. Calculate the weight John lost: 10% of 200 pounds is 0.10 * 200 = 20 pounds. So, John lost 20 pounds.
2. Determine John's weight after losing 10%: Subtract the weight lost from his initial weight. John now weighs 200 pounds - 20 pounds = 180 pounds.
3. Calculate the weight John gained back: 10% of 180 pounds is 0.10 * 180 = 18 pounds. Therefore, John gained back 18 pounds.
4. Determine John's weight now: Add the weight he gained back to his weight after losing 10%. John now weighs 180 pounds + 18 pounds = 198 pounds.
Therefore, John currently weighs 198 pounds.
10% = 10 / 100 = 0.1
John weighs 200 pounds.
He lost 10% of his weight mean:
New weight = 200 * ( 1 - 0.1 ) = 200 * 0 9 = 180 pounds
Then he gained back 10% of his weight mean:
John weigh now = 180 * ( 1 + 0.1 ) = 180 * 1.1 = 198 pounds