jordadar12
contestada

Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same size with apple juice, she had 0.3 gallon of apple juice left.

Respuesta :

BladeRunner212

1.425 gallons/bottle.

Further explanation

Given:

  • Yasmine bought 6 gallons of apple juice.
  • After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.

Question:

What is the amount of apple juice in each container (or bottle)?

The Process:

Let the amount of apple juice in each bottle as X.

The two steps for obtaining X are as follows:

Step-1: the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.

[tex]\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }[/tex]

Step-2: the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.

[tex]\boxed{ \ X = 5.7 \ gallons \div 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }[/tex]

Let's also consider the following quick steps.

Quick steps:

[tex]\boxed{ \ X = \frac{(6 - 0.3) \ gallons}{4 \ bottles} = \boxed{ \ 1.425 \ gallons/bottle \ } \ }[/tex]

Therefore, the amount of apple juice in each container (or bottle) is 1.425 gallons.

Learn more

  1. What is the cost of the toy car? https://brainly.com/question/5282516
  2. How much netting did Mrs.Nguyen use per goal? https://brainly.com/question/13174287  
  3. Mr. Frye distributed his money equally among his 4 children for their weekly allowance. https://brainly.com/question/13174288#

Keyword: Yasmine bought 6 gallons of apple juice, after filling up 4 bottles, she had 0.3 gallons, what's the amount, in each bottle, subtracted by, divide, container

The size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].

Further explanation:

Given:

Yasmine bought [tex]6[/tex] gallons of apple juice.

She filled up [tex]4[/tex] bottles of same size.

She had [tex]0.3[/tex] gallon of apple juice left.

Calculation:

Consider the size of each bottle is [tex]x[/tex] gallons.

Total size of each bottle is [tex]4x[/tex] gallons.

Total amount of apple juice used in these [tex]4[/tex] gallons can be obtained by subtracting total amount of apple juice to remaining apple juice.

[tex]\boxed{6-0.3=5.7}[/tex]

Therefore, total size of the [tex]4[/tex] bottles is [tex]5.7\text{ gallon}[/tex].

Write the equation for the total size of the bottles.

[tex]\boxed{4x=5.7}[/tex]  

Now find the value of [tex]x[/tex] which gives the size of the bottles.

[tex]\begin{aligned}4x&=5.7\\x&=\dfrac{5.7}{4}\\x&=1.425\end{aligned}[/tex]  

Therefore, the size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].

Simple method:

First find the total size of bottle and then divide by [tex]4[/tex].

The total size of each bottle can be obtained as follows:

[tex]6-0.3=5.7[/tex]  

The size of each bottle can be obtained as follows:

[tex]\dfrac{5.7}{4}=1.425[/tex]  

The size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].

Learn more:

1. Learn more about algebraic expression https://brainly.com/question/1600376

2. Learn more about average https://brainly.com/question/3959122

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords: Yasmine, apple juice, juice, 6 gallons, 0.3 gallons, filled, equally, bottles, juice, poured,1.425, liters, size, amount, equation, total size.