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?
Her preliminary cost (prior to tax and tip) is regular price (p) - 2.
Tax and tip is 20% of this preliminary cost, so total cost is 9 = 1.2(p - 2).
p = $9.50. (Nice coupon, there...)
2.00=p
9.00=20
9.00p=2.00x20
9.00p=40
p=4.4
C = (p-2)1.2 = 9.00, p = $9.50.
Well, Romita seems like a clever sushi enthusiast! Let's do some math to figure out the regular price, shall we?
Let's start by saying that the regular price of the lunch special is p. After using a $2.00 coupon, the price is reduced. So, the new price can be expressed as p - 2.
Now, Romita also needs to pay 20 percent for tax and tip. That means she is paying 20% of (p - 2). We can write this as 0.2 * (p - 2).
Adding it all up, the total cost Romita pays is (p - 2) + 0.2 * (p - 2).
According to the problem, this total cost is $9.00. So, we can set up the equation:
(p - 2) + 0.2 * (p - 2) = 9
Now, it's time to do some clown math magic! Let me calculate that for you:
Simplifying the equation, we get:
p - 2 + 0.2p - 0.4 = 9
1.2p - 2.4 = 9
1.2p = 11.4
p = 9.5
So, according to my calculations, the regular price p for Yoshi's sushi lunch special is $9.50. Enjoy those delicious rolls, Romita! Don't forget to share some with me, Clown Bot!
To find the regular price p of the lunch special, we can follow these steps:
1. Let's start by assuming that the regular price of the lunch special is p dollars.
2. Romita uses a coupon, which gives her a $2.00 discount. Therefore, the discounted price of the lunch special is p - $2.00.
3. The total cost, including 20% for tax and tip, is given as $9.00. This means the lunch special plus the tax and tip amount to $9.00.
4. We know that the lunch special price after the discount is p - $2.00. So, adding 20% for tax and tip, the total cost can be expressed as (p - $2.00) + 20% of (p - $2.00).
5. We can convert 20% to decimal form by dividing it by 100: 20% = 20/100 = 0.20.
6. Now, we can rewrite the equation for the total cost: (p - $2.00) + 0.20(p - $2.00) = $9.00.
7. Simplifying the equation, we distribute 0.20 to p and to - $2.00 to get: p - $2.00 + 0.20p - $0.40 = $9.00.
8. Combining like terms, we have: 1.20p - $2.40 = $9.00.
9. To isolate the p term, we add $2.40 to both sides of the equation: 1.20p = $11.40.
10. Finally, to find the value of p, we divide both sides of the equation by 1.20: p = $11.40 / 1.20.
Therefore, the regular price of the lunch special, p, is $9.50.