Subjects algebra

Discount Calculations

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1. **Brian's subtotal with coupon:** - Problem: Brian has a 50% off coupon for one entrée. He buys a steak for $23.99, grilled chicken for $16.49, and two beverages for $1.79 each. The coupon is applied to the steak. Find the subtotal. - Formula: Discounted price = Original price \times (1 - Discount rate) - Step 1: Calculate the discount on the steak: $$23.99 \times 0.50 = 11.995$$ - Step 2: Calculate the discounted steak price: $$23.99 - 11.995 = 11.995$$ - Step 3: Calculate the total cost of beverages: $$1.79 \times 2 = 3.58$$ - Step 4: Add the discounted steak, grilled chicken, and beverages: $$11.995 + 16.49 + 3.58 = 32.065$$ - Step 5: Round to two decimal places: $$32.07$$ 2. **Regina's shopping with coupon:** - Problem: Regina has 100 to spend. She buys a 19 hat, 65 dress, and two CDs at 14 each. She has a 15% off coupon on the entire purchase. Does she have enough money? - Step 1: Calculate total before discount: $$19 + 65 + (14 \times 2) = 19 + 65 + 28 = 112$$ - Step 2: Calculate discount amount: $$112 \times 0.15 = 16.8$$ - Step 3: Calculate total after discount: $$112 - 16.8 = 95.2$$ - Step 4: Compare total after discount to budget: $$95.2 \leq 100$$ so Regina has enough money. **Final answers:** - Brian's subtotal: $32.07 - Regina has enough money; total cost after discount is $95.20