Question

A car runs till (1/8)th of the fuel is consumed. The tanks is then filled to
capacity with 21L. What is the capacity of the tank?
(a) 141
(b)20L
(c)241
(d) 30 L​

Answer 1

Given that:

• A car runs till (1/8)th of the fuel is consumed.
• The tanks is then filled to capacity with 21L.

To Find:

• What is the capacity of the tank?

Let us assume:

• The capacity of the tank be x.
• Fuel consumed = 1/8 of x = x/8

Finding the capacity of the tank:

According to the question.

⟶ x - x/8 = 21

⟶ 8x/8 - x/8 = 21

⟶ 7x/8 = 21

⟶ x = (21 × 8)/7

⟶ x = 24

Hence,

• The capacity of the tank is (c) 24 L.

Answer 2

Answer:-

• A car runs till (1/8)th of the fuel is consumed.
• The tank is then filled to capacity with 21L.
• Capacity of the tank?

Let

the capacity of tank=x Litres

Then

$\\ \sf{:}\longrightarrow Fuel\:consumed=\dfrac{1}{8}x$

$\\ \sf{:}\longrightarrow \dfrac{x}{8}Litres$

ATQ

$\\ \sf{:}\longrightarrow x-\dfrac{x}{8}=21$

$\\ \sf{:}\longrightarrow \dfrac{8x-x}{8}=21$

$\\ \sf{:}\longrightarrow \dfrac{7x}{8}=21$

$\\ \sf{:}\longrightarrow 7x=21\times 8$

$\\ \sf{:}\longrightarrow 7x=168$

$\\ \sf{:}\longrightarrow x=\dfrac{168}{7}$

$\\ \sf{:}\longrightarrow x=24$

Capacity Of the tank is 24L.