Question

The Diagram Shows a Fuel gauge in a Car.

(a) What fraction does the Gauge show?
(b) The fuel tank holds 48 litres when it is full. How many Litres must be added to fill the tank?

Answer 1

The fuel gauge shows 3/8 full. (actually 6/16 but simplified)

So the other 5/8 of the tank is empty.

In order to fill the tank, you'll have to pour in 5/8 of 48 liters.

Can you handle it from there ?

Answer 2

Part a)
`(3)/(8)`

Part b)
`30\ liters`

Explanation:

Part a) What fraction does the Gauge show?

we know that

Each division in the Fuel gauge represent the fraction
`(1)/(16)`

so

To find what fraction the gauge shows multiply
`6` by
`(1)/(16)`

`6*(1)/(16)=(6)/(16)=(3)/(8)`

Part b) The fuel tank holds 48 litres when it is full. How many Litres must be added to fill the tank?

we know that

The tank has
`(3)/(8)` of its total capacity

so

To fill the tank must be added
`1-(3)/(8)=(5)/(8)`

therefore

Multiply
`(5)/(8)` by
`48\ liters`

`48*(5)/(8)=30\ liters`