Question

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, and 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 Ewan and Manuel is equal to the total number of miles ran by Violet and Ling?

Answer 1

So you need to set up 4 equations. Ewan= x. Manuel= $\frac{(2(3x-15))}{5}$ . Violet= $3(x-14).$. And Ling= $\frac{x+30}{5}$. Then you set Ewan + Manuel = Violet +Ling and solve for x. Ewan ran 30 miles. Violet ran 48. Manuel ran 30 miles. And Ling ran 12.