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There are 18 streetlights evenly spaced on a 1.5 -mile road. How many streetlights would you expect on a 4-mile road in which they are spaced out the same?

$7$ . There are $18$ streetlights evenly spaced on a $1$ . $5$ -mile road. How many streetlights would you expect on a $4$ -mile road in which they are spaced out the same?

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Identify quotients of rational numbers: word problems

Full solution

Q.

7

. There are

18

streetlights evenly spaced on a

1

.

5

-mile road. How many streetlights would you expect on a

4

-mile road in which they are spaced out the same?

Determine streetlights per mile: Determine the number of streetlights per mile. $\newline$ To find out how many streetlights there are per mile, we divide the total number of streetlights by the length of the road in miles. $\newline$ Number of streetlights per mile $=$ Total number of streetlights $/$ Length of the road in miles $\newline$ Number of streetlights per mile $= 18$ streetlights $/ 1.5$ miles
Calculate streetlights per mile: Calculate the number of streetlights per mile. $\newline$ Now we perform the division to find out the number of streetlights per mile. $\newline$ Number of streetlights per mile = $\frac{18}{1.5}$ $\newline$ Number of streetlights per mile = $12$
Calculate expected streetlights: Calculate the expected number of streetlights on a $4$ -mile road. $\newline$ To find the expected number of streetlights on a $4$ -mile road, we multiply the number of streetlights per mile by the length of the new road. $\newline$ Expected number of streetlights $=$ Number of streetlights per mile $*$ Length of the new road in miles $\newline$ Expected number of streetlights $= 12$ streetlights per mile $* 4$ miles
Perform multiplication for expected streetlights: Perform the multiplication to find the expected number of streetlights on the $4$ -mile road. $\newline$ Expected number of streetlights = $12 \times 4$ $\newline$ Expected number of streetlights = $48$

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