Four members of the track team ran various numbers of miles last week. To determine the number of miles Manuel ran, multiply the number of miles Ewan ran by 3, subtract 15, multiply the difference by 2, and divide this quantity by 5. To determine the number of miles Violet ran, subtract 14 from the number of miles Ewan ran, then multiply the difference by 3. To determine the number of miles Ling ran, add 30 to the number of miles Ewan ran, and then divide the sum by 5. How many miles did each team member run last week if the total number of miles ran by Violet and Ling?
Algebra