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This problem trains for: SAT-I, AMC-8, GMAT.

The distance from the Sun to Mars and the distance from the Sun to Jupiter are in a ratio of 4:13. The distance from the Sun to Jupiter and the distance from the Sun to Pluto are in a ratio of 1:8. If the distance from the Sun to Pluto is approximately 40 astronomical units (ua), what is the distance from the Sun to Mars?

Denote the distances with M, J and P, respectively.

Solution by back solving:

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If

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then

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Faster solution Notice that:

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