QuestionInstructions Choose the best answer. If necessary, use the paper you were given.
Question Sandra wants to buy a dress that is on sale for 20\% off. Sandra also gets a $5 \%$ discount for being a member of the store's buyer's club. Her buyer's club discount is taken off the sale price of any item. If the original cost of the dress was $c$ dollars, which of the following expressions represents what Sandra would pay, in dollars, for the dress? $0.80 c$ $0.76 c$ $0.75 c$ $0.25 c$

Studdy Solution

STEP 1

1. The original cost of the dress is $c$ dollars.
2. The dress is on sale for 20\% off.
3. Sandra gets an additional 5\% discount as a member of the store's buyer's club.
4. The buyer's club discount is applied after the initial sale discount.

STEP 2

1. Calculate the sale price after the initial 20\% discount.
2. Calculate the final price after applying the additional 5\% discount to the sale price.

STEP 3

Calculate the sale price after the 20\% discount.
The dress is originally $c$ dollars, and it is on sale for 20\% off. This means Sandra pays 80\% of the original price.
The sale price is calculated as: $\text{Sale Price} = 0.80 \times c$

STEP 4

Calculate the final price after applying the 5\% buyer's club discount.
The 5\% discount is taken off the sale price, so Sandra pays 95\% of the sale price.
The final price is calculated as: $\text{Final Price} = 0.95 \times (0.80 \times c)$

STEP 5

Simplify the expression for the final price:
$\text{Final Price} = 0.95 \times 0.80 \times c = 0.76 \times c$
The expression representing what Sandra would pay for the dress is:
$\boxed{0.76c}$

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