By air, the distance from Melbourne, Australia, to Cairo, Egypt, is 2338 miles more than the distance from Madrid, Spain, to Bangkok, Thailand. If the total of these distances is 15,012 miles, find the distance from Madrid to Bangkok.

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# 4 Answers

let x=distance from Madrid to Bangkok

therefore the distance from Melbourne to Cairo is x+2338 (this distance is 2338 miles

*more*than the distance x from Madrid to Bangkok)the total of these distances is 15,012 miles

x+(x+2338)=15,012

2x+2338=15,012

2x=12,674

x=6,337 miles

Hi Dawn;

I hope you understand that

Melbourne is in Australia

Cairo is in Egypt

Madrid is in Spain

and

Bangkok is in Thailand.

(total distance)-(Melbourne to Cairo=(Madrid to Bangkok)

15,012-2,338=12,674

Let's check our work...

(Melbourne to Cairo)+(Madrid to Bangkok) ?? (total distance)

2,338+12,674 ?? 15,012

15,012=15,012

Australia to Egypt call it A

Spain to Thailand call it S

first sentence can be written algebraically as A=2338+S

the total distance is A+S=15012. We need to find S so substituting in for A

2338+S+S=15012

2338+2S=15012. Subtracting from both sides and solving.

-2338 -2338

2S=12674. DivIDE by 2

S=6337 miles

Madrid Bangkok

•-------- → ------•

*miles*

**x**Melbourne Cairo

•----------- → --------•

(

*) miles*

**x + 2338***+ (*

**x***) = 15012*

**x + 2338**2x + 2338 = 15012

2x = 15012 − 2338

2x = 12674

x = 12674 ÷ 2

x =

*distance from Madrid to Bangkok*

**6337 miles**

**~~~~~~~~~***6337 + (6337 + 2338) = 15012*

*6337 + 8675 = 15012*

*15012 = 15012*

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