Question

A game decreased in price by
1/3.
After the reduction it was priced at £18.
What was the original price of the game?

Answer 1

Answer:

• The original price of the game is £ 54.

Step-by-step explanation:

Given that:

• A game decreased in price by 1/3.
• After the reduction it was priced at £ 18.

To Find:

• What was the original price of the game?

Let us suppose:

• The original price of the game be x.

Finding the original price of the game:

According to the question.

⟶ 1/3 of x = 18

⟶ x/3 = 18

⟶ x/3 = 18/1

Cross multiplication.

⟶ x × 1 = 18 × 3

⟶ x = 54

∴ The original price of the game = £ 54

Answer 2

Answer:

Given :-

• A game decreased in price by ⅓. After the reduction it was price at £ 18.

To Find :-

• What is the original price of the game.

Solution :-

Let, the original price of the game be y

According to the question,

↦ $\sf \dfrac{1}{3} \times y =\: 18$

↦ $\sf \dfrac{1}{3} \times \dfrac{y}{1} =\: 18$

↦ $\sf \dfrac{y}{3} =\: 18$

By doing cross multiplication we get,

↦ $\sf y =\: 3(18)$

↦ $\sf y =\: 3 \times 18$

➠ $\sf\bold{\red{y =\: 54}}$

$\therefore$ The original price of the game is £ 54.

$\rule{300}{2}$

VERIFICATION :

↦ $\sf \dfrac{1}{3} \times y =\: 18$

By putting y = 54 we get,

↦ $\sf \dfrac{1}{3} \times 54 =\: 18$

↦ $\sf \dfrac{54}{3} =\: 18$

By doing cross multiplication we get,

↦ $\sf 54 =\: 3 \times 18$

➲ $\sf\bold{\purple{54 =\: 54}}$

Hence, Verified.