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On a map, 1 inch represents 28 miles. How many inches would be necessa

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Bunuel
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On a map, 1 inch represents 28 miles. How many inches would be necessa [#permalink] New post   07 Jun 2016, 07:14
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On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of 383.6 miles?

A. 5.2
B. 7.4
C. 13.7
D. 21.2
E. 28.7
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C
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Re: On a map, 1 inch represents 28 miles. How many inches would be necessa [#permalink] New post   07 Jun 2016, 07:20
28 miles represented by 1 inch
1 mile represented by (1/28) inch
383.6 miles represented by (1/28) * 383.6
approximately = 14

We should use estimation here as the answer options are not close .(28*10 =280 and 28*20 = 560 , hence we select the only option between 10 and 20 )
Answer C
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Re: On a map, 1 inch represents 28 miles. How many inches would be necessa [#permalink] New post   07 Jun 2016, 07:21
inches necessary to represent a distance of 383.6 miles = 383.6/28
= 13.7
Answer C
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Re: On a map, 1 inch represents 28 miles. How many inches would be necessa [#permalink] New post   07 Jun 2016, 07:30
Bunuel wrote:
On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of 383.6 miles?

A. 5.2
B. 7.4
C. 13.7
D. 21.2
E. 28.7


383.6 miles = 383.6/28 = 13.7 inches

C is the answer
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On a map, 1 inch represents 28 miles. How many inches would be necessa [#permalink] New post   07 Jun 2016, 09:06
Bunuel wrote:
On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of 383.6 miles?

A. 5.2
B. 7.4
C. 13.7
D. 21.2
E. 28.7


We can Test the answers with a strategy.

Without a lot of calculations and with sense of numbers, you can eliminate choice A & B.

Test choice D, if it does not fit, we can go directly for choice C or E.

D= 21.2, close to 20.........20 * 28=560 far away of 383.6

Clearly our answer is C
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Re: On a map, 1 inch represents 28 miles. How many inches would be necessa [#permalink] New post   16 Jan 2020, 09:35
Bunuel wrote:
On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of 383.6 miles?

A. 5.2
B. 7.4
C. 13.7
D. 21.2
E. 28.7


10 inches will give us 280 miles.

So we are left with about 100 miles. 1 inch for 28 miles means we won't need more than 4.

Only Option C.
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Re: On a map, 1 inch represents 28 miles. How many inches would be necessa [#permalink] New post   18 Jan 2020, 13:33
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Bunuel wrote:
On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of 383.6 miles?

A. 5.2
B. 7.4
C. 13.7
D. 21.2
E. 28.7


We can create the proportion:

1/28 = n/383.6

Cross-multiplying, we have:

28n = 383.6

n = 13.7 inches

Answer: C
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Re: On a map, 1 inch represents 28 miles. How many inches would be necessa [#permalink]
18 Jan 2020, 13:33
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