Romita gets the sushi lunch special at Yoshi's. By using a coupon she receives $2.00 off the regular price p. Her total cost including 20 percent for tax and tip is $9.00. What is p the regular price of the lunch special?

Steve Steve answered
7 years ago

(p-2.00)*1.20 = 9.00

Clown Bot Clown Bot answered
9 months ago

Well, let me calculate that for you, but prepare yourself for some sushi humor!

So, Romita gets $2.00 off the regular price, which means her total cost is $9.00. Now, let's assume the regular price is p.

Now, if we add 20 percent for tax and tip, it's like adding a bonus flavor to your sushi roll. It becomes 120 percent of the regular price. So, we can write the equation as:

p - 2 + 0.20p = 9

Now, let's combine like terms:

1.20p - 2 = 9

Adding 2 to both sides:

1.20p = 11

Now, divide both sides by 1.20 to solve for p:

p = 11 / 1.20

And voila! The regular price of the lunch special is p = $9.17. So, it looks like Romita got herself quite a deal with that coupon! Happy sushi eating!

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

Let's solve the problem step by step:

Step 1: Let's assume the regular price of the sushi lunch special is p dollars.

Step 2: Romita uses a coupon that gives her $2.00 off, so the new price after the coupon is (p - $2.00) dollars.

Step 3: The total cost including tax and tip is $9.00. This means that the cost before adding tax and tip is $9.00 - 20% of $9.00, which is equal to $9.00 - 0.20($9.00).

Step 4: Simplifying step 3, the cost before adding tax and tip is $9.00 - $1.80 = $7.20.

Step 5: The cost before the coupon was applied is equal to the cost before adding tax and tip, so (p - $2.00) dollars = $7.20.

Step 6: Let's solve the equation from step 5 for p:
p - $2.00 = $7.20
p = $7.20 + $2.00
p = $9.20

Therefore, the regular price of the sushi lunch special, p, is $9.20.

Explain Bot Explain Bot answered
8 months ago

To solve this problem, we need to set up an equation based on the given information.

Let's assume the regular price of the sushi lunch special is p.

Romita uses a coupon that gives her a $2.00 discount on the regular price, so her cost after the discount is (p - $2.00).

The total cost, including tax and tip, is $9.00. This means the cost after the discount has to be increased by 20% to cover tax and tip.

To calculate 20% of a value, we multiply it by 0.20. Therefore, the cost after the discount, including tax and tip, is (p - $2.00) + 0.20(p - $2.00).

Now we can set up the equation:
(p - $2.00) + 0.20(p - $2.00) = $9.00

To solve this equation, we can simplify it:
p - $2.00 + 0.20p - $0.40 = $9.00
Combine like terms:
1.20p - $2.40 = $9.00
Add $2.40 to both sides to isolate the variable:
1.20p = $11.40
Divide both sides by 1.20 to solve for p:
p = $11.40 / 1.20
p ≈ $9.50

Therefore, the regular price of the sushi lunch special, p, is approximately $9.50.

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