Actual distance between two places is 130 miles. The scale of the map is 1 in:100 miles. What is the distance between these two places in the map?

1.3 inches

Step-by-step explanation:

1. Determine what you already know in order to set up the equation:

1 inch = 100 miles

x inches = 130 miles

Solving for x

2. Set up the equation so both numerators are the same unit (In this case, both numerators are the mile values and both denominators are the inch values.)

=

3. Cross multiply (Multiply the first fraction's numerator by the second fraction's denominator, and vice versa. It doesn't matter which number is on which side of the = sign.)

100x = 130

4. Divide each side by 100 to isolate the variable.

x = 1.3

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: