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Mathematics

Grade-7

Easy

Question

In a scale drawing, 1cm depicts 2 miles. If the distance between the hospital and the apartment is 10 cm. The original distance in miles is ________.

45
15
20
30

The correct answer is: 20

scale drawing, 1cm depicts 2 miles
$d i s tan c e space b e t w e e n space t h e space h o s p i t a l space a n d space t h e space a p a r t m e n t space i s space equals space 10 space c m space s o space d i s tan c e space b e t w e e n space t h e space h o s p i t a l space a n d space t h e space a p a r t m e n t space i s space equals 10 space cross times space 2 space m i l e s$
second method
$fraction numerator 2 over denominator 1 end fraction equals fraction numerator x over denominator 10 end fraction comma$
$fraction numerator 2 over denominator 1 end fraction cross times 10 equals fraction numerator x over denominator 10 end fraction cross times 10 comma$
$fraction numerator 2 cross times 10 over denominator 1 end fraction equals x$
x = 20 miles.

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