Question
3. Mrs Chua poured \( 8 \ell \) of oil into some bottles. Each bottle contained \( \frac{4}{5} \ell \) of oil. How many bottles of oil did Mrs Chua have?
Ask by Ball Haynes. in Singapore
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Mrs. Chua used 10 bottles to store the 8 liters of oil.
Solution
To determine how many bottles Mrs. Chua used to store her oil, follow these steps:
**Given:**
- Total oil poured = \( 8 \) liters
- Oil per bottle = \( \frac{4}{5} \) liters
**Step 1: Understand the Problem**
We need to find out how many bottles are required to hold \( 8 \) liters of oil when each bottle holds \( \frac{4}{5} \) liters.
**Step 2: Set Up the Calculation**
The number of bottles needed can be found by dividing the total amount of oil by the amount each bottle can hold.
\[
\text{Number of bottles} = \frac{\text{Total oil}}{\text{Oil per bottle}} = \frac{8}{\frac{4}{5}}
\]
**Step 3: Perform the Division**
Dividing by a fraction is the same as multiplying by its reciprocal.
\[
\frac{8}{\frac{4}{5}} = 8 \times \frac{5}{4} = \frac{40}{4} = 10
\]
**Answer:**
Mrs. Chua used **10 bottles** to store the \( 8 \) liters of oil.
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Bonus Knowledge
To find out how many bottles of oil Mrs. Chua had, we need to divide the total amount of oil she poured by the amount of oil in each bottle. Total oil = \( 8 \ell \) Oil in each bottle = \( \frac{4}{5} \ell \) Now, we perform the division: \[ \text{Number of bottles} = \frac{8 \ell}{\frac{4}{5} \ell} = 8 \cdot \frac{5}{4} = 10 \] Thus, Mrs. Chua had 10 bottles of oil.