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

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}`

Step-by-step explanation:

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

`\begin{gathered} (1)/(2)\text{ can }\rightarrow\text{ }(1)/(10)\text{ }of\text{ her room} \\ mu\text{ltiplying through by 2;} \\ (1)/(2)*2\text{ can }\rightarrow\text{ }(1)/(10)*2\text{ }of\text{ her room} \\ 1\text{ can }\rightarrow\text{ }(1)/(5)\text{ }of\text{ her room} \end{gathered}`

So;

`\text{Each can of paint will cover }(1)/(5)\text{ of Dalia's room}`

Also;

`\begin{gathered} (1)/(2)\text{ can }\rightarrow\text{ }(1)/(10)\text{ }of\text{ her room} \\ \text{ multiply through by 6;} \\ (1)/(2)*6\text{ can }\rightarrow\text{ }(1)/(10)*6\text{ }of\text{ her room} \\ 3\text{ can }\rightarrow\text{ }(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} (1)/(2)\text{ can }\rightarrow\text{ }(1)/(10)\text{ }of\text{ her room} \\ \text{ multiply both sides by 10;} \\ (10)/(2)\text{ can }\rightarrow\text{ }(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}`