4.10 2.55 1.50 Part Two: Read the directions and fill in the table.

For this section you will use your totals from part one in combination with your
concession stand portfolio list (hundredths place only). Complete all parts of every
question.
1.) Complete the chart by filling in the missing information from your
concession stand portfolio lists and then the calculations to find the total
cost. You will choose any four items from your concession stand and we
are still using the cost you have listed in the column where you rounded to
the hundredths place.
Concession Stand Item Number of the Item
Purchased
Cost Per Item Total Cost
3
4
5
2
Mrs. Russell bought all of the items listed above for a lunch for herself and some
friends while at your theme park.
a. How much money did she spend in total?
b. Write a numerical expression that represents the total amount of
money Mrs. Russell spent at your concession stand. Use parentheses
to group together each part that needs to be solved firs

3 answers

To fill out the table and answer the questions, we need to select four items from the concession stand portfolio you mentioned. Below, I will create an example scenario using hypothetical items, their prices (cost per item), and perform the necessary calculations.

Example Concession Stand Portfolio

| Concession Stand Item | Cost Per Item | |-----------------------|----------------| | Popcorn | $4.10 | | Candy Bar | $2.55 | | Soda | $1.50 | | Nachos | $3.75 |

Table to Fill Out

Let's assume Mrs. Russell decides to buy:

  1. Popcorn (3 items)
  2. Candy Bar (4 items)
  3. Soda (5 items)
  4. Nachos (2 items)

Using these assumptions, we can calculate the total cost for each item as follows:

| Concession Stand Item | Number of the Item Purchased | Cost Per Item | Total Cost | |-----------------------|------------------------------|----------------|------------------| | Popcorn | 3 | $4.10 | $4.10 * 3 = $12.30 | | Candy Bar | 4 | $2.55 | $2.55 * 4 = $10.20 | | Soda | 5 | $1.50 | $1.50 * 5 = $7.50 | | Nachos | 2 | $3.75 | $3.75 * 2 = $7.50 |

Total Cost Calculation

Now, we can calculate the total cost by summing the total cost of all items purchased:

  • Total Cost = $12.30 (Popcorn) + $10.20 (Candy Bar) + $7.50 (Soda) + $7.50 (Nachos)

\[ \text{Total Cost} = (12.30 + 10.20 + 7.50 + 7.50) \]

Numerical Expression

The numerical expression representing the total amount of money Mrs. Russell spent at the concession stand can be written as:

\[ \text{Total Amount} = (12.30 + 10.20 + 7.50 + 7.50) \]

Final Answers

a. The total amount of money Mrs. Russell spent is:

\[ \text{Total Amount} = 12.30 + 10.20 + 7.50 + 7.50 = 37.50 \]

b. The final numerical expression representing this total is:

\[ (12.30 + 10.20 + 7.50 + 7.50) \]

Note: You may replace the prices and quantities in this example with the actual values from your concession stand portfolio.

Part Two: Read the directions and fill in the table.
Dress up it is time for you to work and serve some lunch to visitors to your theme park.
For this section use your concession stand list (only in the rounded to hundredths
place amounts) for both of the questions..
1.) You have a customer Mr. Billy has $30.00 to spend. They are buying lunch
for himself and two friends. What combination of items can they buy if they
spend no less than $25.00. They must buy at least 4 items and multiples of
at least two items. Show all your work.
2.) Mrs. Russell has $15.00 to spend she buys 5 items from your concession
stand. She buys 3 of one item and 2 other items. What items did she buy,
list the items and their prices? Did she have enough money? If she did not
how much did she go over what she had to spend? If she did how much
change did she get back? Show all your work.

Let’s work through both questions using an example concession stand list with item prices rounded to the hundredths place.

Example Concession Stand List

| Concession Stand Item | Cost Per Item | |-----------------------|----------------| | Popcorn | $4.10 | | Candy Bar | $2.55 | | Soda | $1.50 | | Nachos | $3.75 |

Question 1: Mr. Billy's Purchases

Objective: Mr. Billy has $30.00 and wants to spend at least $25.00 on lunch for himself and two friends. He must buy at least 4 items and multiples of at least two items.

Total Amount to Spend: $25.00 - $30.00
Minimum Items to Buy: 4 items

Let’s find a combination of items that meets all these requirements.

Possible Combination:

  1. Popcorn (2 items):

    • Cost: $4.10 each
    • Total Cost for Popcorn: $4.10 * 2 = $8.20
  2. Candy Bar (2 items):

    • Cost: $2.55 each
    • Total Cost for Candy Bars: $2.55 * 2 = $5.10
  3. Soda (2 items):

    • Cost: $1.50 each
    • Total Cost for Soda: $1.50 * 2 = $3.00
  4. Nachos (2 items):

    • Cost: $3.75 each
    • Total Cost for Nachos: $3.75 * 2 = $7.50

Calculating Total Cost:

  • Total Cost = Cost of Popcorn + Cost of Candy Bars + Cost of Soda + Cost of Nachos
  • Total Cost = $8.20 + $5.10 + $3.00 + $7.50
  • Total Cost = $23.80

This combination does not meet Mr. Billy’s requirement of spending at least $25.00. Let's try another combination.

New Combination:

  1. Popcorn (3 items):

    • Total Cost for Popcorn: $4.10 * 3 = $12.30
  2. Nachos (3 items):

    • Total Cost for Nachos: $3.75 * 3 = $11.25
  3. Soda (1 item):

    • Total Cost for Soda: $1.50 * 1 = $1.50

Calculating New Total Cost:

  • Total Cost = $12.30 + $11.25 + $1.50
  • Total Cost = $25.05

Summary for Question 1

Mr. Billy can buy:

  • 3 Popcorns, 3 Nachos, and 1 Soda.
  • Total cost: $25.05 (spending at least $25.00 and buying at least 4 items with some items as multiples).

Question 2: Mrs. Russell's Purchases

Objective: Mrs. Russell has $15.00 and buys 5 items (3 of one item and 2 others). We need to identify the items and see if she had enough money.

Let’s consider various combinations with the following items:

Let’s assume she buys:

  1. Popcorn (3 items):

    • Total Cost for Popcorn = $4.10 * 3 = $12.30
  2. Soda (2 items):

    • Total Cost for Soda = $1.50 * 2 = $3.00

Calculating Total Cost:

  • Total Cost = $12.30 + $3.00 = $15.30

Verification:

  • Money available: $15.00
  • Total Cost: $15.30

Did she have enough money?

  • No, she went over by:
  • Over Budget = Total Cost - Money Available = $15.30 - $15.00 = $0.30

Summary for Question 2

  • Items Purchased:
    • 3 Popcorns ($4.10 each)
    • 2 Sodas ($1.50 each)
  • Total Cost: $15.30
  • Mrs. Russell did not have enough money. She went over by $0.30.

This concludes the calculations and allocations for Mr. Billy and Mrs. Russell based on the example concession stand items. Adjust the items and their prices accordingly if you have specific values from your concession stand list.

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