harper knows he is 50 yards from school.The map on his phone shows that the school is 3/4 inch from his current location.Of Harpers current location is 3 inches from home on the same map, how far is Harper from home?

Respuesta :

first you convert the yards to inches, and because 1 yard is 36 inches, then 50 yards are
[tex]50 \times 36 = 1800 \: inches[/tex]

[tex] \frac{1800}{ \frac{3}{4} } = \frac{x}{3} \\ \frac{1800 \times 4}{3} = \frac{x}{3} \\ 2400 = \frac{x}{3} \\ x = 3 \times 2400 \\ x = 7200 \: inches[/tex]
if you want to convert the inches to yards, then:
[tex]x = \frac{7200}{36} = 200 \: yards[/tex]

If the map says that Harper is 3 inches from home, then Harper must actually be 200 yards from home.

There is a scale here that can be used to convert the number of inches to yards. The first step therefore is to find the number of yards that is represented by one inch.

= Number of yards on ground / Inches on map

= 50 ÷ 3/4

= 50 x 4/3

= 66.67 yards

If a single inch is 66.67 yards, 3 inches must be:

= 66.67 x 3

= 200 yards

In conclusion, Harper is 200 yards from home.

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