The problem asks us to calculate the total bill before tax and tip for a group of friends at Jae's cafe. The costs of their main courses are $13.99, $16.99, $19.99, and $21.99. The total cost of their drinks is $12.00. They also have a coupon for discounts on main courses: 10% off for items between $15 and $19.99, and 15% off for items $20 and up.

1. Problem Description

The problem asks us to calculate the total bill before tax and tip for a group of friends at Jae's cafe. The costs of their main courses are $13.99,$16.99, $19.99, and$21.

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9. The total cost of their drinks is $12.

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0. They also have a coupon for discounts on main courses: 10% off for items between $15 and $19.99, and 15% off for items $20 and up.

2. Solution Steps

First, we calculate the total cost of the main courses before applying the coupon.

Total cost of main courses $= 13.99 + 16.99 + 19.99 + 21.99 = 72.96$

Next, we apply the discounts using the coupon:

The $13.99 item does not receive a discount.

The $16.99 item receives a 10% discount.

Discounted price of $16.99 item$= 16.99 - (0.10 \times 16.99) = 16.99 - 1.699 = 15.291 \approx 15.29$

The $19.99 item receives a 10% discount.

Discounted price of $19.99 item$= 19.99 - (0.10 \times 19.99) = 19.99 - 1.999 = 17.991 \approx 17.99$

The $21.99 item receives a 15% discount.

Discounted price of $21.99 item$= 21.99 - (0.15 \times 21.99) = 21.99 - 3.2985 = 18.6915 \approx 18.69$

Total cost of discounted main courses $= 13.99 + 15.29 + 17.99 + 18.69 = 65.96$

Total cost of drinks $= 12.00$

Total bill before tax and tip $= 65.96 + 12.00 = 77.96$

3. Final Answer

The bill before tax and tip will be $77.96.