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?
(p-2.00)*1.20 = 9.00
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!
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.
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.