Q:

Fred the clown can create 20 animal balloons every 15 minutes. How much can he create in 6 minutes, and 45 minutes?

Accepted Solution

A:
[tex]\bf \textit{\Large in 6 minutes}\\\\ \begin{array}{ccll} balloons&minutes\\ \cline{1-2} 20&15\\ x&6 \end{array}\implies \cfrac{20}{x}=\cfrac{15}{6}\implies 120=15x \\\\\\ \cfrac{120}{15}=x\implies 8=x \\\\[-0.35em] ~\dotfill\\\\ \textit{\Large in 45 minutes}\\\\ \begin{array}{ccll} balloons&minutes\\ \cline{1-2} 20&15\\ x&45 \end{array}\implies \cfrac{20}{x}=\cfrac{15}{45}\implies \cfrac{20}{x}=\cfrac{1}{3}\implies 60=x[/tex]