James is drawing a map to scale from his house to his grandma's house. His grandma lives 42 miles away from his house. James drew the map with a scale of 1/2 inch is equivalent to 4 miles. How far is it on the map from James' house to his grandma's house?
First, we need to determine the scale of the map. We are given that 1/2 inch on the map represents 4 miles in real life.
To find out how far James' house is from his grandma's house on the map, we can set up a proportion using the scale. Let x represent the distance on the map from James' house to his grandma's house in inches.
From the scale, we can set up the proportion:
1/2 inch / 4 miles = x inches / 42 miles.
To solve for x, we cross-multiply: 1/2 inch * 42 miles = 4 miles * x inches.
Simplifying, we get:
21 inches = 4 miles * x inches.
Dividing both sides of the equation by 4 miles, we get x = 21 inches / 4 miles.
Reducing the fraction, we get: x = 5.25 inches.
Therefore, it is 5.25 inches on James' map from his house to his grandma's house.