8. Elena and Marcus jog after school each day. One
   day, Elena and Marcus jogged a total of 15 miles.
   Elena jogged 1 mile more than Marcus. Use a gra
   to find the number of miles each person jogged.

Let’s break this down with a simple graph! On the x-axis, let’s represent the distance Marcus jogged (we can call it M), and on the y-axis, we can represent the distance Elena jogged (E). From the problem, we know that E = M + 1 (since Elena jogged 1 mile more than Marcus). The second piece of information gives us the total distance: E + M = 15.

Now, substituting E in the total distance equation, we have (M + 1) + M = 15. This simplifies to 2M + 1 = 15, leading us to 2M = 14, and finally M = 7. Plugging this back, we find that E = 7 + 1 = 8. So, Marcus jogged 7 miles, while Elena jogged 8 miles.

With great teamwork, these two joggers hit their stride! 🏃‍♂️🏃‍♀️

To double-check your answers, you can always plug the values back into the original problem. If you add the distances: 7 (Marcus) + 8 (Elena) indeed equals 15 miles! Plus, 8 miles is exactly 1 mile more than 7 miles. Voila, you’ve confirmed their jogging success and solved the problem perfectly! 🎉