Problema Solution
If planet I is 33.8 million miles farther from the sun than planet II, then planet III is 27.6 million miles farther from the sun than planet I. When the total of the distances for these three planets from the sun is 191.2 million miles, how far away from the sun is planet II?
Answer provided by our tutors
let
x = the distance of planet I from the sun
y = the distance of planet II from the sun
z = the distance of planet III from the sun
planet I is 33.8 million miles farther from the sun than planet II
x = y + 33.8
planet III is 27.6 million miles farther from the sun than planet I
z = 27.6 + x
the total of the distances for these three planets from the sun is 191.2 million miles
x +y + z = 191.2
by solving the system of equations
x = y + 33.8
z = 27.6 + x
x +y + z = 191.2
we find
y = 32 million miles
click here to see the step by step solution of the system of equations
planet II is 32 million miles away from the sun.