Question 105844
Let x=distance from Apia to Austin, y=Apia to Noumea

The sum of these distances is written as {{{x+y}}}, and 4 times the sum is {{{4(x+y)}}}. Now set {{{4(x+y)}}} equal to the total distance 47,000

{{{4(x+y)=47000}}}



{{{4(x+2480)=47000}}} Since we know the distance from Apia to Noumea is 2480 Km, we can plug in {{{y=2480}}}


{{{4x+4*2480=47000}}} Distribute



{{{4x+9920=47000}}} Multiply



{{{4x=47000-9920}}} Subtract 9,920 from both sides



{{{4x=37080}}} Subtract



{{{x=37080/4}}} Divide both sides by 4 to isolate x



{{{x=9270}}} Divide



So the distance from Apia to Austin is 9,270 Km