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)
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.
Let's break down the given information step by step:
1. The friend told the waiter to remove the $12 dessert from Stan's bill.
So, the reduced bill is (original bill - $12).
2. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip.
We can express this as: (reduced bill * 0.2) = $15.
Now, let's use the above information to form the equation:
(reduced bill * 0.2) = $15
Since the reduced bill is (original bill - $12), we can substitute it into the equation:
((original bill - $12) * 0.2) = $15
Thus, the equation to determine the amount of the original bill (b) is:
(0.2 * (b - $12)) = $15
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.
Let's break down the information given to write an equation:
1. The original bill must be reduced by $12 for the dessert that was removed.
2. Stan tipped the waiter 20% on the reduced bill, which resulted in a $15 tip.
Let's represent the original bill amount as 'b'. We know that the dessert was removed, so the reduced bill amount would be 'b - $12'.
To calculate the tip, we can use the formula: 20% * (reduced bill amount) = $15.
Now we can write the equation:
0.20 * (b - $12) = $15
Simplifying the equation, we have:
0.20b - 0.20($12) = $15
0.20b - $2.40 = $15
Therefore, the equation that determines the amount of the original bill 'b' is:
0.20b - $2.40 = $15.
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 −
) =
(b - $12) = original bill
0.20 * (b - $12) = $15
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 $
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.
Jason’s age is 1/2 the difference of his mother’s age and 6. Jason is 16. How old is Jason’s mother?
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.