Question

In our solar system 6/8 of the planets have moons and 4/8 of the planets have moon and rings. What fraction of the planet in our solar system have moons, but do not have rings?

Answer 1

$\begin{gathered} \frac{6}{8}\colon\text{Have moons} \\ \frac{4}{8}\colon\text{Have moons and rings} \\ \end{gathered}$

So, the fraction of the planets in our solar system that have moons but don't have rings would be:

$\frac{6}{8}-\frac{4}{8}=\frac{6}{8}-\frac{1}{2}=\frac{1}{4}$

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Let:

T = Total playground

Fs = Fraction for the soccer field

Fb = Fraction for the basketball court

So, the remaining field will be:

$\begin{gathered} R=T-Fs-Fb \\ R=1-\frac{2}{8}-\frac{3}{8} \\ R=1-\frac{5}{8} \\ R=\frac{3}{8} \end{gathered}$