4. Your car is down to $$ 1 / 8 $$ of a tank of petrol. It has a 60 litre tank. a) How much petrol is in it? b) What fraction of the tank will you have to put in it? c) How many litres is that? d) If fuel is $$ \$ 1.61 $$ per litre, how much will it cost to fill?

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UpStudy AI · Accepted Answer

**(a)**  
We need to find $$ \frac{1}{8} $$ of a 60 litre tank:  
$$
\text{Petrol in tank} = \frac{1}{8} \times 60 = \frac{60}{8} = 7.5 \text{ litres}
$$

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**(b)**  
The tank is full when it contains 60 litres. Since it currently has 7.5 litres, the fraction needed to fill the tank is:  
$$
\text{Fraction needed} = 1 - \frac{7.5}{60}
$$
Simplify the fraction inside:  
$$
\frac{7.5}{60} = \frac{1}{8}
$$
Thus,  
$$
1 - \frac{1}{8} = \frac{7}{8}
$$

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**(c)**  
To find the number of litres needed, multiply the fraction by the total capacity:  
$$
\text{Litres needed} = \frac{7}{8} \times 60 = 7 \times \frac{60}{8} = 7 \times 7.5 = 52.5 \text{ litres}
$$

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**(d)**  
The cost to fill the petrol is given by the product of the litres needed and the price per litre:  
$$
\text{Cost} = 52.5 \text{ litres} \times \$1.61
$$
Compute the multiplication:  
$$
52.5 \times 1.61 = 84.525
$$
Rounded to two decimal places, the cost is approximately:  
$$
\$84.53
$$
**(a)** There are 7.5 litres of petrol in the tank. **(b)** You need to add $$ \frac{7}{8} $$ of the tank. **(c)** That's 52.5 litres. **(d)** It will cost approximately \$84.53 to fill the tank.

Your car is down to of a tank of petrol. It has a 60 litre tank.
a) How much petrol is in it?
b) What fraction of the tank will you have to put in it?
c) How many litres is that?
d) If fuel is per litre, how much will it cost to fill?

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Your car is down to of a tank of petrol. It has a 60 litre tank. a) How much petrol is in it? b) What fraction of the tank will you have to put in it? c) How many litres is that? d) If fuel is per litre, how much will it cost to fill?