The distance from Jimmy's house to the school is 400 meters.
Step-by-step explanation:
Step 1; Assume that the distance between Jimmy's house and his school is x meters. So from the given data, we can form these
Distance from his house to the school = x,
Distance from his school to the store = Distance from his house to the school + 100 = x + 100,
Distance from the store to his house = Distance from his house to the school + 175 = x +175.
Step 2; It is given that the total distance Jimmy walked was 1,475 meters. Jimmy walked a total of three trips so,
x + x + 100 + x + 175 = 1,475,
3x + 275 = 1,475,
3x = 1,475 - 275 = 1,200,
x = 400.
So distance from Jimmy's house to school = 400 meters,
Distance from his school to the store = 400 + 100 = 500 meters,
Distance from the store to his house = 400 + 175 = 575 meters.