b) The regular price of a chair is \( \$ 183.99 \). Determine the sale price of the chair if the regular price is reduced by \( 25 \% \) and this price is then reduced another \( 20 \% \). c) Determine the sale price of the chair if the regular price of \( \$ 183.99 \) is re]tuced by \( 45 \% \).
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To calculate the sale price after a \( 25\% \) reduction, we first find the amount reduced: \( 183.99 \times 0.25 = 45.9975 \) (or approximately \( 46.00 \)). Subtracting this from the regular price gives us \( 183.99 - 46.00 = 137.99 \). Next, we reduce this new price by \( 20\% \): \( 137.99 \times 0.20 = 27.598 \) (about \( 27.60 \)). Finally, subtract that from \( 137.99 \) to get a total sale price of \( 137.99 - 27.60 = 110.39 \). For the \( 45\% \) reduction, we calculate it similarly: \( 183.99 \times 0.45 = 82.7955 \) (approximately \( 82.80 \)). Subtracting this from the regular price gives a sale price of \( 183.99 - 82.80 = 101.19 \). Thus, if the price is reduced by \( 45\% \), the sale price of the chair is \( 101.19 \).