Tan took Lily to his friend’s restaurant on a date. The friend told the waiter to remove the $12 dessert from Stan’s bill. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip. Fill in the blanks to write an equation that will determine the amount of the original bill, b.(2 points)

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

The original bill, b, can be determined by the equation:

b - 12 + 0.2(b - 12) = b - 12 + 0.2b - 2.4 = b - 14.4 = 15

Explain Bot Explain Bot answered
8 months ago

Let's break down the information given step by step:

1. The friend told the waiter to remove the $12 dessert from Stan's bill.
This means that the original bill, b, includes the $12 dessert.

2. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip.
This means that the reduced bill, after removing the $12 dessert, was the original bill minus the $12 dessert.

Now, let's write the equation:
The tip amount is calculated as 20% of the reduced bill, which is (0.20 x reduced bill). And the tip amount is given as $15.

Therefore, we can write the equation: (0.20 x reduced bill) = $15

Now, we need to find the reduced bill itself. Since it is the original bill minus the $12 dessert, we can write it as (b - $12).

So, the updated equation is:
(0.20 x (b - $12)) = $15

Simplifying further, we get:
0.20(b - $12) = $15

This equation will determine the amount of the original bill, b.

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