November 2023
Problem of the Month
Weight Loss Problem
Submitted by K. Sengupta
1. June, Sophie, Penny, and Ariana all went through a weight loss diet program.
2. Their combined weight loss after the program was equal to Sophie's weight before the program.
3. June's weight before the program was twice Penny's weight after the program.
4. The combined weight of Sophie, Penny and Ariana before the program was four times Penny's weight after the program.
5. The combined weight of June and Sophie before the program was three times Sophie's weight after the program.
6. Penny and Ariana both lost the same amount of pounds.
7. Twice Sophie's weight loss was equal to three times Ariana's weight loss.
8. Sophie lost 20 pounds more than Penny.
9. The combined weight loss of June and Sophie is equal to 140 pounds.
Determine the weights of June, Sophie, Penny and Ariana before and after the weight loss program.