I need help badly with this assignment. If Venus is 33.3 million miles farther from the sun than Mercury, then Earth is 25.6 million miles farther from the sum than venus. When the total of the ditances for these three planets from the sum is 191.2 million miles, how far away from the sun is Mercury

2 answers

Let the sun distances be M, V and E, in millions of miles

V - M = 33.3
E - V = 25.6
M + V + E = 191.2

The last two equations, when subtracted, tell you that
M + 2V = 165.6
Adding that to the first equation tells you that
3V = 198.9, so V = 66.3

Since V - M = 33.3, M = 33.0 (million miles)
Thank you Drwls
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