Part 1: At the State Fair it costs $2.75 for a piece of pizza and $3.50 for a funnel cake. How much would it cost to order "p" pieces of pizza and "f" funnel cakes? Show how to set this up as an algebraic expression.

Answer 1

To set up the cost of ordering "p" pieces of pizza and "f" funnel cakes, you can use an algebraic expression based on the costs of each item.

The cost of a piece of pizza is $2.75, so the total cost for "p" pieces of pizza would be:

\[ 2.75p \]

The cost of a funnel cake is $3.50, so the total cost for "f" funnel cakes would be:

\[ 3.50f \]

To find the total cost of ordering "p" pieces of pizza and "f" funnel cakes, you can sum the two costs:

\[ \text{Total Cost} = 2.75p + 3.50f \]

This is the algebraic expression that represents the total cost based on the number of pieces of pizza and funnel cakes ordered.

Answer 2

Part 2: Three friends, Kelsey, Ana, and Ellie want to order 2 pieces of pizza and 1 funnel cake each. Solve to find out how much it would cost all-together for the three friends to order 2 pieces of pizza and 1 funnel cake each.

Answer 3

To find out how much it would cost for Kelsey, Ana, and Ellie to each order 2 pieces of pizza and 1 funnel cake, we can first determine the cost for one person and then multiply that by the number of friends.

1. Cost for one person:

   • Each person orders 2 pieces of pizza: \[ \text{Cost for pizza} = 2 \text{ pieces} \times 2.75 \text{ (cost per piece)} = 5.50 \]
   • Each person orders 1 funnel cake: \[ \text{Cost for funnel cake} = 1 \text{ funnel cake} \times 3.50 \text{ (cost per cake)} = 3.50 \]
   • Thus, the total cost for one person is: \[ \text{Total cost for one person} = 5.50 + 3.50 = 9.00 \]

2. Cost for three friends:

   • Since there are three friends: \[ \text{Total cost for three friends} = 9.00 \times 3 = 27.00 \]

Therefore, it would cost all together $27.00 for Kelsey, Ana, and Ellie to order 2 pieces of pizza and 1 funnel cake each.

Answer 4

explain how you solved it, in words

Answer 5

To solve the problem of calculating the total cost for Kelsey, Ana, and Ellie to order pizza and funnel cakes at the State Fair, I followed these steps:

1. Understand the Order: I recognized that each friend wants to order the same quantity: 2 pieces of pizza and 1 funnel cake.

2. Calculate Individual Costs:

   • I first calculated the cost of the pizza for one person. Since the cost of a single piece of pizza is $2.75, I multiplied this cost by the number of pieces each friend wants (which is 2). This gives a cost of $5.50 for pizza.
   • Next, I calculated the cost of the funnel cake for one person. With the cost of a funnel cake being $3.50 and each person ordering 1, the total for the funnel cake is simply $3.50.

3. Total Cost for One Person: By adding the two amounts together ($5.50 for the pizza and $3.50 for the funnel cake), I found that the total cost for one person to order 2 pieces of pizza and 1 funnel cake is $9.00.

4. Calculate Total for All Friends: Since all three friends (Kelsey, Ana, and Ellie) are ordering the same amount, I multiplied the individual total cost of $9.00 by 3 (the number of friends). This gave me a final total cost of $27.00.

5. Conclusion: Thus, the total amount it would cost for all three friends to order 2 pieces of pizza and 1 funnel cake each is $27.00.

This structured approach allowed me to efficiently break down the problem into manageable parts and calculate the final cost accurately.