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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?

1 answer

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.