Final answer:
To find the distance Lisa has traveled when she passes Maria's house, set up a proportion using the given information. Solve for x to find the distance.
Step-by-step explanation:
To find the distance Lisa has traveled when she passes Maria's house, we can set up a proportion using the given information. Let the total distance Lisa travels be represented by 'x'. We know that Lisa is 79% of the way to her brother's house when she passes Maria's house. So, we can set up the equation: 67/x = 79/100. Cross-multiplying gives us 67 * 100 = 79 * x. Solving for x, we find that x = 67 * 100 / 79.
Using a calculator, we can evaluate this expression and find that x ≈ 84.8101 miles. Therefore, Lisa has traveled approximately 84.8101 miles when she passes Maria's house.