Math / Algebra

QuestionThe price of a jumper is reduced by $17 \%$ in a sale. The sale price is $£ 62.25$
What was the original price of the jumper?

Studdy Solution

STEP 1

1. The sale price of the jumper is £62.25.
2. The price reduction is 17% of the original price.
3. We need to find the original price of the jumper.

STEP 2

1. Define a variable for the original price.
2. Write an equation to represent the relationship between the original price, the discount, and the sale price.
3. Solve the equation for the original price.

STEP 3

Define a variable for the original price of the jumper. Let $x$ be the original price.

STEP 4

Write an equation to represent the relationship. The sale price is the original price minus 17% of the original price.
$x - 0.17x = 62.25$

STEP 5

Simplify the equation. Combine like terms on the left side.
$0.83x = 62.25$

STEP 6

Solve for $x$ by dividing both sides by 0.83.
$x = \frac{62.25}{0.83}$
Calculate the division:
$x \approx 75$
The original price of the jumper was:
$\boxed{£75}$

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QuestionThe price of a jumper is reduced by $17 \%$ in a sale. The sale price is $£ 62.25$
What was the original price of the jumper?

Studdy Solution

STEP 1

1. The sale price of the jumper is £62.25.
2. The price reduction is 17% of the original price.
3. We need to find the original price of the jumper.

STEP 2

1. Define a variable for the original price.
2. Write an equation to represent the relationship between the original price, the discount, and the sale price.
3. Solve the equation for the original price.

STEP 3

Define a variable for the original price of the jumper. Let $x$ be the original price.

STEP 4

Write an equation to represent the relationship. The sale price is the original price minus 17% of the original price.
$x - 0.17x = 62.25$

STEP 5

Simplify the equation. Combine like terms on the left side.
$0.83x = 62.25$

STEP 6

Solve for $x$ by dividing both sides by 0.83.
$x = \frac{62.25}{0.83}$
Calculate the division:
$x \approx 75$
The original price of the jumper was:
$\boxed{£75}$

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QuestionThe price of a jumper is reduced by 17%17 \%17% in a sale. The sale price is £62.25£ 62.25£62.25What was the original price of the jumper?

Studdy Solution

STEP 1

1. The sale price of the jumper is £62.25.2. The price reduction is 17% of the original price.3. We need to find the original price of the jumper.

STEP 2

1. Define a variable for the original price.2. Write an equation to represent the relationship between the original price, the discount, and the sale price.3. Solve the equation for the original price.

STEP 3

Define a variable for the original price of the jumper. Let x x x be the original price.

STEP 4

Write an equation to represent the relationship. The sale price is the original price minus 17% of the original price.x−0.17x=62.25 x - 0.17x = 62.25 x−0.17x=62.25

STEP 5

Simplify the equation. Combine like terms on the left side.0.83x=62.25 0.83x = 62.25 0.83x=62.25

STEP 6

Solve for x x x by dividing both sides by 0.83.x=62.250.83 x = \frac{62.25}{0.83} x=0.8362.25​Calculate the division:x≈75 x \approx 75 x≈75The original price of the jumper was:£75 \boxed{£75} £75​

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionThe price of a jumper is reduced by $17 \%$ in a sale. The sale price is $£ 62.25$
What was the original price of the jumper?

1. The sale price of the jumper is £62.25.
2. The price reduction is 17% of the original price.
3. We need to find the original price of the jumper.

1. Define a variable for the original price.
2. Write an equation to represent the relationship between the original price, the discount, and the sale price.
3. Solve the equation for the original price.

Define a variable for the original price of the jumper. Let $x$ be the original price.

Write an equation to represent the relationship. The sale price is the original price minus 17% of the original price.
$x - 0.17x = 62.25$

Simplify the equation. Combine like terms on the left side.
$0.83x = 62.25$

Solve for $x$ by dividing both sides by 0.83.
$x = \frac{62.25}{0.83}$
Calculate the division:
$x \approx 75$
The original price of the jumper was:
$\boxed{£75}$