meerkat18
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The Diagram Shows a Fuel gauge in a Car.

AWhat fraction does the Gauge show?
BThe 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 class=

Verified Answer :

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) \(\frac{3}{8}\)

Part b) \(30\ liters\)

Step-by-step explanation:

Part a)  What fraction does the Gauge show?

we know that

Each division in the Fuel gauge represent the fraction \(\frac{1}{16}\)

so

To find what fraction the gauge shows multiply \(6\) by \(\frac{1}{16}\)

\(6*\frac{1}{16}=\frac{6}{16}=\frac{3}{8}\)

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 \(\frac{3}{8}\) of its total capacity

so

To fill the tank must be added \(1-\frac{3}{8}=\frac{5}{8}\)

therefore

Multiply \(\frac{5}{8}\) by \(48\ liters\)

\(48*\frac{5}{8}=30\ liters\)