Question

Stan 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)

Answer 1

Stan 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)
(b −
) =

Answer 2

Molly has 6 grandchildren. She likes to be fair and buy gifts for all of them at the same time. She found jigsaw puzzles, each discounted by 50¢. Find the original cost of each puzzle if she spent a total of $27.(1 point)
Each puzzle cost $

Answer 3

Ethan had 7 of his friends over. He ordered cheese pizzas and mozzarella sticks for the 8 of them. In all, there were 64 pieces of food. If each person had 5 slices of pizza, find the number of mozzarella sticks each person ate.(1 point)
Each person ate
mozzarella sticks.

Answer 4

Jason’s age is 1/2 the difference of his mother’s age and 6. Jason is 16. How old is Jason’s mother?

Answer 5

The original bill minus the cost of the dessert is equal to the reduced bill: b - 12 = reduced bill.
The tip is 20% of the reduced bill: 0.20 * reduced bill = 15.
We need to solve the equation for the reduced bill in order to find the value of b:
0.20 * reduced bill = 15
reduced bill = 15 / 0.20
reduced bill = 75
Substituting the value of the reduced bill in the first equation:
b - 12 = 75
b = 75 + 12
b = 87. Answer: \boxed{87}.

Answer 6

(b - $12) = original bill

0.20 * (b - $12) = $15

Answer 7

Let's represent the original cost of each puzzle as 'x'.

Since each puzzle was discounted by 50¢, the cost of each puzzle after the discount would be 'x - 0.50'.

Molly bought a total of 6 puzzles, so the total cost of the puzzles would be 6 times the discounted cost of each puzzle.

Therefore, we can write the equation:
6 * (x - 0.50) = $27

Simplifying the equation, we have:
6x - 3 = $27

Add 3 to both sides:
6x = $30

Divide both sides by 6:
x = $5

Therefore, the original cost of each puzzle was $5.

Answer 8

If each person had 5 slices of pizza, then the total number of pizza slices consumed would be 8 * 5 = 40 slices.

Since there were a total of 64 pieces of food and 40 of them were pizza slices, the remaining 64 - 40 = 24 pieces must be mozzarella sticks.

Since there were 8 people in total, the number of mozzarella sticks each person ate would be 24 / 8 = 3 mozzarella sticks.

Therefore, each person ate 3 mozzarella sticks.

Answer 9

Let's denote Jason's age as J and his mother's age as M.

Given that Jason's age is 1/2 the difference of his mother's age and 6, we can write the equation:
J = 1/2(M - 6)

Since we know that Jason is 16, we can substitute J with 16 in the equation:
16 = 1/2(M - 6)

To solve for M, let's start by isolating M on one side of the equation:
16 * 2 = M - 6
32 = M - 6

Now, let's solve for M by bringing 6 to the other side of the equation:
32 + 6 = M
38 = M

Therefore, Jason's mother is 38 years old.