Question

Para hacer 8 hot cake se necesita 1 taza de harina cuantas se necesitan para 12,20,30,50​

Answer 1

【Rpta.】Para 12,20,30 y 50​ hot cakes se necesitan 1.5, 2.5, 3.75 y 6.25 tazas de harina respectivamente.

                                 ${\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedimiento}}{\hspace{50pt}\above 1.2pt}$

Para este caso utilizaremos la regla de tres simple directa, ya que ambas magnitudes(cantidad de hot cakes y cantidad de tazas de harina) son directamente proporcionales.

Entonces

✔ Para 12 hot cakes

                           $\mathsf{\:8\:hot\ cakes\:\: \xrightarrow{\hspace{90pt}} 1\:taza\ de\ harina}\\\mathsf{\:12\:hot\ cakes\xrightarrow{\hspace{90pt}}\:\:\:\:\:\:\:\:\:\:\:\:\: \boldsymbol{\mathsf{x}}}$

 

                          $\mathsf{\hspace{1 pt}(8\:hot\ cakes )(x) =(1\:taza\ de\ harina)(12\:hot\ cakes )}\\\\\\\mathsf{\hspace{30 pt}x =\dfrac{(1\:taza\ de\ harina)(12\:hot\ cakes \hspace{-37pt}\dfrac{\hspace{1.2cm}}{~})}{(8\:hot\ cakes \hspace{-37pt}\dfrac{\hspace{1.2cm}}{~})}}\\\\\\\mathsf{\hspace{60pt} x=\dfrac{12\:taza\ de\ harina}{8}}\\\\\\\mathsf{\hspace{30 pt}\:\:\:\:\:\:\:\boxed{\boxed{\boldsymbol{\mathsf{x=1.5\: taza\ de\ harina}}}}}$

                    Para 12 hot cakes se necesitan 1.5 tazas de harina.

✔ Para 20 hot cakes

                            $\mathsf{\:8\:hot\ cakes \xrightarrow{\hspace{90pt}} 1\:taza\ de\ harina}\\\mathsf{\:20\:hot\ cakes \xrightarrow{\hspace{90pt}} \:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathsf{x}}}$

 

                            $\mathsf{\hspace{1 pt}(8\:hot\ cakes)(x) =(1\:taza\ de\ harina)(20\:hot\ cakes)}\\\\\\\mathsf{\hspace{30 pt}x =\dfrac{(1\:tazas\ de\ harina)(20\:hot\ cakes\hspace{-37pt}\dfrac{\hspace{1.2cm}}{~})}{(8\:hot\ cakes\hspace{-37pt}\dfrac{\hspace{1.2cm}}{~})}}\\\\\\\mathsf{\hspace{60pt} x=\dfrac{20\:tazas\ de\ harina}{8}}\\\\\\\mathsf{\hspace{30 pt}\:\:\:\:\:\:\:\boxed{\boxed{\boldsymbol{\mathsf{x=2.5\: tazas\ de\ harina}}}}}$

                       Para 20 hot cakes se necesitan 2.5 tazas de harina.

✔ Para 30 hot cakes

                             $\mathsf{\:8\:hot\ cakes \xrightarrow{\hspace{90pt}} 1\:taza\ de\ harina}\\\mathsf{\:30\:hot\ cakes \xrightarrow{\hspace{90pt}} \:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathsf{x}}}$

 

                             $\mathsf{\hspace{1 pt}(8\:hot\ cakes)(x) =(1\:tazas\ de\ harina)(30\:hot\ cakes)}\\\\\\\mathsf{\hspace{30 pt}x =\dfrac{(1\:tazas\ de\ harina)(30\:hot\ cakes\hspace{-37pt}\dfrac{\hspace{1.2cm}}{~})}{(8\:hot\ cakes\hspace{-37pt}\dfrac{\hspace{1.2cm}}{~})}}\\\\\\\mathsf{\hspace{60pt} x=\dfrac{30\:tazas\ de\ harina}{8}}\\\\\\\mathsf{\hspace{30 pt}\:\:\:\:\:\:\:\boxed{\boxed{\boldsymbol{\mathsf{x=3.75\: tazas\ de\ harina}}}}}$

                         Para 30 hot cakes se necesitan 3.75 tazas de harina.

✔ Para 50 hot cakes

                             $\mathsf{\:8\:hot\ cakes \xrightarrow{\hspace{90pt}} 1\:taza\ de\ harina}\\\mathsf{\:50\:hot\ cakes \xrightarrow{\hspace{90pt}} \:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathsf{x}}}$

 

                             $\mathsf{\hspace{1 pt}(8\:hot\ cakes)(x) =(1\:tazas\ de\ harina)(50\:hot\ cakes)}\\\\\\\mathsf{\hspace{30 pt}x =\dfrac{(1\:tazas\ de\ harina)(50\:hot\ cakes\hspace{-37pt}\dfrac{\hspace{1.2cm}}{~})}{(8\:hot\ cakes\hspace{-37pt}\dfrac{\hspace{1.2cm}}{~})}}\\\\\\\mathsf{\hspace{60pt} x=\dfrac{50\:tazas\ de\ harina}{8}}\\\\\\\mathsf{\hspace{30 pt}\:\:\:\:\:\:\:\boxed{\boxed{\boldsymbol{\mathsf{x=6.25\: tazas\ de\ harina}}}}}$

                       Para 50 hot cakes se necesitan 6.25 tazas de harina.

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