Question

Mr. Spears was purchasing supplies for his math classroom. He had $25 to spend. Mechanical pencils and erasers come in bundles of 10. Each eraser costs $0.50. Fill in the missing place in the equation to compute the cost of each mechanical pencil.(1 point)

(x + 0.50)=25

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since each eraser costs $0.50, and Mr. Spears wants to spend $25, the equation can be written as:

10x + 0.50 = 25

Therefore, the cost of each mechanical pencil is 10.

Answer 2

A school plans to spend twice the amount it did last year on its winter dance, less the cost of the disco ball which was $150, since they have it from last year. A total of $1,500 is being spent this year. Fill in the blanks to write an equation that will determine the amount of last year’s budget, a .(2 points)

(a - ) =

Answer 3

[AI-generated answer — Bot GPT 3.5]

Since the school plans to spend twice the amount it did last year on the winter dance, less the cost of the disco ball, the equation can be written as:

(a - 150) = 1500

Therefore, the amount of last year's budget (a) can be found by adding 150 to $1500.

Answer 4

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 5

[AI-generated answer — Bot GPT 3.5]

Since the friend told the waiter to remove the $12 dessert from Stan's bill, and Stan tipped the waiter 20% on the reduced bill, the equation can be written as:

(b - 12) = 15

Therefore, the amount of the original bill (b) can be found by adding $15 to $12.

Answer 6

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 7

[AI-generated answer — Bot GPT 3.5]

If each jigsaw puzzle was discounted by 50¢, the original cost of each puzzle can be represented as:

x - 0.50

where x is the original cost of each puzzle.

Since Molly spent a total of $27, the equation can be written as:

6(x - 0.50) = 27

Simplifying the equation:

6x - 3 = 27

Adding 3 to both sides:

6x = 30

Dividing both sides by 6:

x = 5

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

Answer 8

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 9

[AI-generated answer — Bot GPT 3.5]

If each person had 5 slices of pizza, and there were 8 people in total, then a total of 8*5 = 40 slices of pizza were eaten.

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

Since there were 8 people in total, each person ate 24/8 = 3 mozzarella sticks.

Therefore, each person ate 3 mozzarella sticks.