Problem B

Running Low on Gas

Driving home from a meeting late one evening, Ming notices that her gas gauge is showing that a mere \(\frac{1}{10}\) of a tank remains. Luckily, just then she spots a \(24\)-hour gas station. She has just enough money to add \(20\) litres of gas to the tank, bringing her gas tank up to \(\frac{1}{2}\) full.

Given that the gas tank went from \(\frac{1}{10}\) full to \(\frac{1}{2}\) full, determine the fraction of the tank filled by the gas that Ming added. Hint: Use equivalent fractions.

The fraction of the tank you found in part (a) holds \(20\) L. How many litres are there in \(\frac{1}{10}\) of a full tank?

Given what you discovered in part (b), what is the full capacity, in litres, of Mingâ€™s gas tank?

**Theme:** Number Sense