a scale on a map shows that 2 inches = 25 miles.
PART A: how many inches on the map represent 60 miles?
PART B: how many miles are represented by 1/4 inch on the map?
PART A: To find out how many inches on the map represent 60 miles, we can set up a ratio:
2 inches = 25 miles
x inches = 60 miles
Cross multiply to solve for x:
2 * 60 = 25 * x
120 = 25x
x = 4.8 inches
So, 4.8 inches on the map represent 60 miles.
PART B: To find out how many miles are represented by 1/4 inch on the map, we can set up a ratio using the given scale:
2 inches = 25 miles
1/4 inch = y miles
Cross multiply to solve for y:
2 * y = 25 * 1/4
2y = 6.25
y = 3.125 miles
So, 1/4 inch on the map represents 3.125 miles.