Check the solution to "To calculate: The number of miles where the..."

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

remolatg

Answered question

2021-08-18

To calculate: The number of miles where the two cities are marked 6.5 in. apart if a map has a scale of 50 mi/in.

Answer & Explanation

smallq9

Skilled2021-08-19Added 106 answers

Formula used:
An equation that equates two ratios or rates is called a proportion. Therefore, if $b \neq 0$ and $d \neq 0$ , then:
$\frac{a}{b} = \frac{c}{d}$ is a proportion.
Calculation:
As it is provided that a map has a scale of 50 mi/in.
Consider x represent the number of miles if the two cities are marked 6.5 in. apart.
Set up a proportion by writing two equivalent ratios,
$\frac{50 m i}{1 i n} = \frac{x}{6.5 i n}$
Multiply by LCD, that is 6.5,
$(6.5) \times \frac{50 m i}{1 i n} = \frac{x}{6.5 i n} \times 6.5$
Solve the resulting linear equation as:
$x = 6.5 (50)$
$x = 325$
Thus, the number of miles represented is 325 miles.

Jeffrey Jordon

Expert2021-12-17Added 2605 answers

Answer is given below (on video)

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