118k views
5 votes
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?

2 Answers

3 votes

Answer:

10/9X and also x/0.9

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.

User Itsnikolay
by
6.0k points
4 votes

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

X milliliters - 100%

x milliliters - 90%.

Write a proportion:


(X)/(x)=(100)/(90),\\ \\X=(10x)/(9)=1(1)/(9)x.

Answer: The volume of the whole bottle is
1(1)/(9)x milliliters.

User Violeta Georgieva
by
5.6k points