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[Q8]

An empty container has a capacity of 80 000 litres to 1 significant figure.
Mel pours in 7400 litres of water to 2 significant figures.
She says,
"I have filled more than 10% of the container."
Is she correct?
You must show your working.

User Mikeho
by
8.1k points

1 Answer

3 votes

Answer:

Mel's statement is incorrect.

Explanation:

To determine whether Mel's statement is correct, let's calculate the percentage of the container that is filled after pouring in 7400 liters of water.

The total capacity of the container is 80,000 liters (to 1 significant figure).

Mel pours in 7400 liters of water (to 2 significant figures).

To calculate the percentage filled, we can use the formula:

Percentage filled = (Amount filled / Total capacity) * 100

Substituting the values:

Percentage filled = (7400 / 80000) * 100

Simplifying the calculation:

Percentage filled = 0.0925 * 100

Percentage filled = 9.25%

Based on the calculation, Mel has actually filled 9.25% of the container, not more than 10% as she claimed. Therefore, Mel's statement is incorrect.

To summarize:

- The container has a capacity of 80,000 liters.

- Mel poured in 7400 liters of water.

- The percentage filled is calculated as (7400 / 80000) * 100 = 9.25%.

- Mel's statement that she filled more than 10% of the container is incorrect.

User Murta
by
7.5k points