In the morning, sophie goes to the store the goes to school. In the afternoon she goes from school to her house. The map shows the distance between school and home as 5 cm. If every 4 cm on the scale drawing equals 8 kilometers, how far apart are sophies home and school.

Question

Mathematics

Plato

1 January, 16:37

In the morning, sophie goes to the store the goes to school. In the afternoon she goes from school to her house. The map shows the distance between school and home as 5 cm. If every 4 cm on the scale drawing equals 8 kilometers, how far apart are sophies home and school.

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Answers (1)

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Layne Key · Answer 1

10 km

Step-by-step explanation:

If 4 cm represents 8 kilometers then 1 cm represents;

8 / 4

= 2

1 cm : 2 km

How, then, about 5 cm - the distance between Sophie's home and school?

5 cm : ? km

A cross multiplication;

1 cm : 2 km

5 cm : x km

(5 * 2) = 1 x

x = 10/1

x = 10