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Math

QuestionA table costs \374aftera 374 after a 15\%$ discount. Find the original price.

Studdy Solution

STEP 1

Assumptions1. The sale price of the table is $374. . This sale price is15% less than the regular price.
3. We need to find the regular price.

STEP 2

Let's denote the regular price as .Accordingtotheproblem,thesalepriceis15. According to the problem, the sale price is15% less than the regular price. We can express this as a mathematical equationSale\, price = -15\% \times$$

STEP 3

Now, plug in the given value for the sale price into the equation.
$374=−15%×\$374 = -15\% \times

STEP 4

To simplify the equation, we can express15% as a decimal, which is0.15.$374=−0.15\$374 = -0.15

STEP 5

We can simplify the equation further by factoring out $$.
$374=(1−0.15)\$374 =(1 -0.15)

STEP 6

implify the equation.
$374=0.85\$374 =0.85

STEP 7

To find the regular price $$, we can divide both sides of the equation by0.85.
=$374/0.85 = \$374 /0.85

STEP 8

Calculate the regular price.
=$374/0.85=$440 = \$374 /0.85 = \$440The regular price of the table is $440.

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