Question

Sarah’s mother has a miniature village modeled after her home town. The model is 10 feet long and 7 feet wide. The actual village is 7 miles long. What is the village’s actual width? If necessary, round to the nearest tenth of a mile
4.9 miles
10 miles
1 mile
0.7 mile
which one is the answer?

Answer 1

yay u r on

Answer 2

This is a ratio problem.

The model is 10 feet long and the village is 7 miles long.

If you compare those, you get the ratio of the model size to the real thing:
10 feet / 7 miles

That is the same ratio as the model's width the real village width:
7 feet / ??? miles

Answer 3

so:
10 feet / 7 miles = 7 feet / x miles

Then you can cross-multiply to simplify:
10x = 49
And then divide both sides by 10 to solve for x.
x = 49/10

Answer 4

\(\dfrac{7 mile}{10 ft} = \dfrac{7 mile\cdot\dfrac{5280 ft}{1 mile}}{10 ft} = \dfrac{36960}{10}\)

Can you finish?

Answer 5

so wouldnty it be 4.9 miles because the ratio is 49/10

Answer 6

sorry, that drawing was all messed up :(

Answer 7

its ok tht drawing thing is weird

Answer 8

yes, the ratio of lengths is 10 feet to 7 miles, and the equivalent ratio of widths is 7 feet to 4.9 miles.


To actually get the ratio, you would need to convert miles to feet, but all you really need to do is to find the equivalent ratio and solve for the unknown width.

Answer 9

thx lifesaver

Answer 10

You're welcome, happy to help. All these problems with models or shrinking or growing something are similar ratio problems...

Answer 11

oh hey before i go is this right x/2 = 8/9 x = 0.44

Answer 12

huh? :)

Is this a different problem?

Answer 13

yes yes

Answer 14

So, what is the question?

Answer 15

its a proportion x/2 = 8/9

Answer 16

would x = 0.44

Answer 17

Oh, ok :)

Yes, you had an extra "x" in it earlier...

x/2 = 8/9

Multiply both sides by 2:
x = 16/9

Then you can use a calculator or whatever if you need the decimal.
x = 1.7778

I think you divided both sides by 2 instead of multiplying.

Answer 18

x/2 = 8/9

The other way is to cross multiply:
9x = (2)(8)
Simplify:
9x = 16
Divide both sides by 9 to solve for x:
x = 16/9

Answer 19

thx so much

Answer 20

ur so awesome

Answer 21

:)