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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?

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 fil class=

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AL2006
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 ?
calculista

Answer:

Part a) [tex]\frac{3}{8}[/tex]

Part b) [tex]30\ liters[/tex]

Step-by-step explanation:

Part a)  What fraction does the Gauge show?

we know that

Each division in the Fuel gauge represent the fraction [tex]\frac{1}{16}[/tex]

so

To find what fraction the gauge shows multiply [tex]6[/tex] by [tex]\frac{1}{16}[/tex]

[tex]6*\frac{1}{16}=\frac{6}{16}=\frac{3}{8}[/tex]

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 [tex]\frac{3}{8}[/tex] of its total capacity

so

To fill the tank must be added [tex]1-\frac{3}{8}=\frac{5}{8}[/tex]

therefore

Multiply [tex]\frac{5}{8}[/tex] by [tex]48\ liters[/tex]

[tex]48*\frac{5}{8}=30\ liters[/tex]

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