Question

Jun used x milliliters, or 90%, percent, of his favorite bottle of hot sauce. Which of the following expressions could represent the volume of a full bottle of Jun's favorite hot sauce, in milliliters?

Answer 1

Answer:

10/9X and also x/0.9

Step-by-step explanation:

Let's find equivalent ways of writing the volume of a full bottle of Jun's favorite hot sauce.

\begin{aligned} \dfrac{x}{\blueD{90\%}}\cdot 100\%&=\dfrac{x}{\blueD{0.9}}\cdot 1\\\\ &=\dfrac{x}{\blueD{0.9}}\\\\ &=\dfrac{x}{\blueD{\left(\dfrac{9}{10}\right)}}\\\\ &=\blueD{\dfrac{10}{9}}x \end{aligned}  

90%

x

​  ⋅100%

​    

=  

0.9

x

​  ⋅1

=  

0.9

x

​  

=  

(  

10

9

​  )

x

​  

=  

9

10

​  x

​  

Hint #55 / 5

The expressions \dfrac{x}{0.9}  

0.9

x

​  start fraction, x, divided by, 0, point, 9, end fraction and \dfrac{10}{9}x  

9

10

​  xstart fraction, 10, divided by, 9, end fraction, x each could represent the volume of a full bottle of Jun's favorite hot sauce.

Answer 2

Let X milliliters be the whole volume of the bottle of hot sauce. Then

X milliliters - 100%

x milliliters - 90%.

Write a proportion:

$\dfrac{X}{x}=\dfrac{100}{90},\\ \\X=\dfrac{10x}{9}=1\dfrac{1}{9}x.$

Answer: The volume of the whole bottle is $1\dfrac{1}{9}x$ milliliters.