Question

The distance between Singapore and Tokyo is 3300 miles. On a wall map, this distance is represented by 11 inches. How far apart are two cities on the map if the actual distance between them is 6300 miles?

Answer 1

3300 - 11
6300 - x

Answer 2

start by \(3300\div 11=300\) so each inch is 300 miles

Answer 3

set up a proportion

Answer 4

sat's method works too, as usual

Answer 5

then divide \(6300\div 300\) to compute miles to inches

Answer 6

I'm still confused

Answer 7

each inch represents a certain number of miles
since \(3300\) miles is represented by 11 inches, you know each inch represents \(3300\div 11=300\) miles, i.e. one inch represents 300 miles
is that okay so far?

Answer 8

yes

Answer 9

now you have \(6300\) miles, and you want to know how many inches that would be on the map

Answer 10

since each inch is 300 miles, you want to know \(300x=6300\) or more easily stated as
you want to know what is \(3600\div 300\)

Answer 11

oops typo there sorry
you want to know \(6300\div 300\)

Answer 12

is that ok or is that confusing still?

Answer 13

i think that's ok ..

Answer 14

ok but just to make sure it is clear
1 inch is 300 miles
2 inches is 600 miles
3 inches is 900 miles etc
in other words, \(x\) inches is \(300x\) miles
you have \(6300\) miles to convert to inches, so you want to know what you would multiply 300 by to get \(6300\) which is just another way of saying,
what is \(6300\div 300\)

Answer 15

which would be 21

Answer 16

yes

Answer 17

so the answer would be 21 inches?

Answer 18

yes

Answer 19

thank you

Answer 20

yw