Question

1 10 of her Dalia is painting her room. After painting room, Dalia has used 1 2 of a can of paint. Select ALL of the true statements. (Select all that apply.) Each can of paint will cover 1 20 of Dalia's room. 3 cans of paint will cover 60% of Dalia's room. Dalia's entire room requires 5 cans of paint. Dalia's entire room requires 20 cans of paint. Painting of Dalia's room requires 10 cans of paint.

Answer 1

Answer:

The correct answer choices are;

$\begin{gathered} 3\text{ cans of paint will cover 60\% of Dalia's room} \\ \text{Dalia's entire room requires 5 cans of paint.} \end{gathered}$

Explanation:

Given that one-half of a can of paint can cover one-tenth of Dalia's room.

$\begin{gathered} \frac{1}{2}\text{ can }\rightarrow\text{ }\frac{1}{10}\text{ }of\text{ her room} \\ mu\text{ltiplying through by 2;} \\ \frac{1}{2}\times2\text{ can }\rightarrow\text{ }\frac{1}{10}\times2\text{ }of\text{ her room} \\ 1\text{ can }\rightarrow\text{ }\frac{1}{5}\text{ }of\text{ her room} \end{gathered}$

So;

$\text{Each can of paint will cover }\frac{1}{5}\text{ of Dalia's room}$

Also;

$\begin{gathered} \frac{1}{2}\text{ can }\rightarrow\text{ }\frac{1}{10}\text{ }of\text{ her room} \\ \text{ multiply through by 6;} \\ \frac{1}{2}\times6\text{ can }\rightarrow\text{ }\frac{1}{10}\times6\text{ }of\text{ her room} \\ 3\text{ can }\rightarrow\text{ }\frac{6}{10}\text{ }of\text{ her room} \\ 3\text{ can }\rightarrow\text{ 60\% }of\text{ her room} \end{gathered}$

So,

$3\text{ cans of paint will cover 60\% of Dalia's room}$

To cover the whole room;

$\begin{gathered} \frac{1}{2}\text{ can }\rightarrow\text{ }\frac{1}{10}\text{ }of\text{ her room} \\ \text{ multiply both sides by 10;} \\ \frac{10}{2}\text{ can }\rightarrow\text{ }\frac{10}{10}\text{ }of\text{ her room} \\ 5\text{ can }\rightarrow\text{ the whole }of\text{ her room} \end{gathered}$

Therefore, the correct answer choices are;

$\begin{gathered} 3\text{ cans of paint will cover 60\% of Dalia's room} \\ \text{Dalia's entire room requires 5 cans of paint.} \end{gathered}$