QuestionLet the original price be $x$ . Write the equation: $360 = \frac{2}{5}x$ . Find $x$ .

Studdy Solution

STEP 1

Assumptions1. The sale price of the bookcase is $360. . The sale price is two-fifths of the original price.

STEP 2

Translate the verbal statement into an algebraic equation. Let's denote the original price as $. The equation is$ Sale\, price = \frac{2}{5} \times Original\, price$$

STEP 3

Now, plug in the given value for the sale price into the equation.
$\$360 = \frac{2}{5} \times$

STEP 4

To solve for $, we need to isolate$ on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of $\frac{2}{}$ , which is $\frac{}{2}$ .
$= \$360 \times \frac{}{2}$

STEP 5

Calculate the original price, $$.
$= \$360 \times \frac{5}{2} = \$900$ The original price of the bookcase was $900.

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QuestionLet the original price be $x$ . Write the equation: $360 = \frac{2}{5}x$ . Find $x$ .

Studdy Solution

STEP 1

Assumptions1. The sale price of the bookcase is $360. . The sale price is two-fifths of the original price.

STEP 2

Translate the verbal statement into an algebraic equation. Let's denote the original price as $. The equation is$ Sale\, price = \frac{2}{5} \times Original\, price$$

STEP 3

Now, plug in the given value for the sale price into the equation.
$\$360 = \frac{2}{5} \times$

STEP 4

To solve for $, we need to isolate$ on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of $\frac{2}{}$ , which is $\frac{}{2}$ .
$= \$360 \times \frac{}{2}$

STEP 5

Calculate the original price, $$.
$= \$360 \times \frac{5}{2} = \$900$ The original price of the bookcase was $900.

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QuestionLet the original price be xxx. Write the equation: 360=25x360 = \frac{2}{5}x360=52​x. Find xxx.

Studdy Solution

STEP 1

Assumptions1. The sale price of the bookcase is $360. . The sale price is two-fifths of the original price.

STEP 2

Translate the verbal statement into an algebraic equation. Let's denote the original price as .Theequationis. The equation is.TheequationisSale\, price = \frac{2}{5} \times Original\, price$$

STEP 3

Now, plug in the given value for the sale price into the equation.$360=25×\$360 = \frac{2}{5} \times$360=52​×

STEP 4

To solve for ,weneedtoisolate, we need to isolate ,weneedtoisolate on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 2\frac{2}{}2​, which is 2\frac{}{2}2​.=$360×2 = \$360 \times \frac{}{2}=$360×2​

STEP 5

Calculate the original price, $$.=$360×52=$900 = \$360 \times \frac{5}{2} = \$900=$360×25​=$900The original price of the bookcase was $900.

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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.

QuestionLet the original price be $x$ . Write the equation: $360 = \frac{2}{5}x$ . Find $x$ .

Translate the verbal statement into an algebraic equation. Let's denote the original price as $. The equation is$ Sale\, price = \frac{2}{5} \times Original\, price$$

Now, plug in the given value for the sale price into the equation.
$\$360 = \frac{2}{5} \times$

To solve for $, we need to isolate$ on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of $\frac{2}{}$ , which is $\frac{}{2}$ .
$= \$360 \times \frac{}{2}$

Calculate the original price, $$.
$= \$360 \times \frac{5}{2} = \$900$ The original price of the bookcase was $900.