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QuestionRhianna buys 6 chairs for \455aftera$55discount.Findtheequationfortheregularcost,455 after a \$55 discount. Find the equation for the regular cost, c$, of each chair.

Studdy Solution

STEP 1

Assumptions1. The total discount on the set of chairs is 55.Rhiannabuysasetof6chairs3.ThetotalamountpaidbyRhiannais55. Rhianna buys a set of6 chairs3. The total amount paid by Rhianna is 4554. The regular cost of each chair is represented by cc
5. The discount is applied to the total cost of the set of chairs, not to each individual chair

STEP 2

We need to find an equation that represents the situation. The total amount paid by Rhianna is the cost of6 chairs minus the discount.
Total amount paid=6×(Regular cost of each chair)−DiscountTotal\, amount\, paid =6 \times (Regular\, cost\, of\, each\, chair) - Discount

STEP 3

Substitute the given values into the equation.
$455=6c−$55\$455 =6c - \$55So, the correct equation is 6c−55=4556c -55 =455.

STEP 4

Now, we need to solve this equation for cc, the regular cost of each chair. First, add55 to both sides of the equation to isolate the term with cc.
6c=$455+$556c = \$455 + \$55

STEP 5

Calculate the right side of the equation.
c=$510c = \$510

STEP 6

Finally, divide both sides of the equation by6 to solve for cc.
c=$510/6c = \$510 /6

STEP 7

Calculate the value of cc.
c=$510/6=$85c = \$510 /6 = \$85The regular cost of each chair is $85.

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