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Together, Saturn, Juliter, and Uranus have a total of 150 natural satellites (moons). Jupiter has 3 more satellites than Saturn, and Uranus has 33 fewer satellites than Saturn. How many satellites does each planet have? write an equation in which the moons of Saturn, Jupiter, and Uranus add together to total 150.

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The number of moons of Saturn = x
Jupiter has 3 more moons than Saturn. The number of moons of Jupiter = x+3
Uranus has 33 fewer satellites than Saturn. The number of moons of Uranus = x-33
Together they have a total of 150 moons.

[tex]x+x+3+x-33=150 \\ 3x-30=150 \ \ \ |+30 \\ 3x=180 \ \ \ |\div 3 \\ x=60 \\ \\ x+3=60+3=63 \\ \\ x-33=60-33=27[/tex]

Saturn has 60 satellites, Jupiter has 63 satellites, Uranus has 27 satellites.