Mars has $m$ moons. The number of moons of Pluto is one more than twice the number of moons of Mars. The number of moons of Neptune is one less than $3$ times the number of moons of Pluto. Write and interpret a simpliﬁed expression that represents the number of moons of Neptune.

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Solution

Given: Number of moons of mars = $m$
According to question, number of moons of pluto = $1 + 2 m$
And the number of moons of Neptune $= 3 (1 + 2 m) - 1$
$= 3 + 6 m - 1 {Distributive property}$
$= 6 m + 2$
Hence, A simpliﬁed expression that represents the number of moons of Neptune is $6 m + 2$

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