It takes 1/3 pint of paint to cover a birdhouse. There are 12 and 1/3 pints of paint in a can. Write and evaluate a division expression to find the number of bread houses that can be painted.

Respuesta :

Answer:

37 birdhouses

Step-by-step explanation:

Given:

It takes 1/3 pint of paint to cover a birdhouse.

There are 12 1/3 pints of paint in a can.

Question asked:

Write and evaluate a division expression to find the number of bread houses that can be painted.

Solution:

We will solve it by unitary method:

By using [tex]\frac{1}{3}[/tex] pints of paint, we can paint = 1 birdhouse

By using 1 pints of paint, we can paint = [tex]\frac{1}{\frac{1}{3} }=1\times3=3\ birdhouses[/tex]

By using  [tex]12\frac{1}{3}[/tex] pints of paint, we can paint [tex]=3\times12\frac{1}{3}[/tex]

                                                                   [tex]=3\times\frac{12\times3+1}{3} \\\\ =3\times\frac{37}{3} \\ \\ =3\ canceled \ by\ 3\\=37\ birdhouses[/tex]

Thus, 37 birdhouses can be painted by using [tex]12\frac{1}{3}[/tex] pints of paints.