Question

A gasoline station in Manila, Philippines, charges 38.46 pesos per liter of unleaded gasoline at a time when one US dollar (USD) buys 47.15 pesos (PHP). The car you are driving has a gas tank with a capacity of 14 US gallons and gets 24 miles per gallon.
Suppose that you have only PHP 1255 and the car's tank is almost empty. How many miles can you expect to drive if you spend all your money on gasoline?

The answer will be written in scientific notation.

Answer 1

First, we know that the gas station price is 38.46 pesos/liter. We also know that 1 USD = 47.15 pesos or 1 USD/47.15 pesos. To solve, we first figure out how much 1255 PHP will buy. We can find this by this expression: 1255*(1 liter/38.46) = 32.63 liters of gas. Next, we convert liters of gas into gallons of tank. The conversion is 1 gal = 3.78 liters, so 32.63 liters * (1 gal/3.78 liters) = 8.632 gal. Finally, we take the miles per gallon of 24 miles/gal and multiply by the total gal amount of 8.632 gal to get the miles driven. This is 24 miles/gal * (8.632 gal) = 207.17 miles.