The size of each bottle that is filled by apple juice is \(\boxed{\bf 1.425}\).
Further explanation:
Given:
Yasmine bought \(6\) gallons of apple juice.
She filled up \(4\) bottles of same size.
She had \(0.3\) gallon of apple juice left.
Calculation:
Consider the size of each bottle is \(x\) gallons.
Total size of each bottle is \(4x\) gallons.
Total amount of apple juice used in these \(4\) gallons can be obtained by subtracting total amount of apple juice to remaining apple juice.
\(\boxed{6-0.3=5.7}\)
Therefore, total size of the \(4\) bottles is \(5.7\text{ gallon}\).
Write the equation for the total size of the bottles.
\(\boxed{4x=5.7}\)
Now find the value of \(x\) which gives the size of the bottles.
\(\begin{aligned}4x&=5.7\\x&=\dfrac{5.7}{4}\\x&=1.425\end{aligned}\)
Therefore, the size of each bottle that is filled by apple juice is \(\boxed{\bf 1.425}\).
Simple method:
First find the total size of bottle and then divide by \(4\).
The total size of each bottle can be obtained as follows:
\(6-0.3=5.7\)
The size of each bottle can be obtained as follows:
\(\dfrac{5.7}{4}=1.425\)
The size of each bottle that is filled by apple juice is \(\boxed{\bf 1.425}\).
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.
