51.7k views
1 vote
Nathan and some friends are going to the movies. At the theater, they sell a bag of popcorn for $6 and a drink for $4. How much would it cost if they bought 5 bags of popcorn and 7 drinks? How much would it cost if they bought pp bags of popcorn and dd drinks?Total cost, 5 bags of popcorn, and 7 drinks: Total cost, p bags of popcorn and d drinks:

User Gaelle
by
7.6k points

2 Answers

5 votes

Final answer:

The total cost for 5 bags of popcorn and 7 drinks at the prices given would be $58. To calculate the cost for an undefined number of popcorn bags and drinks, represented by pp and dd respectively, the formula used is Total Cost = (p × $6) + (d × $4).

Step-by-step explanation:

The question involves calculating the total cost for certain quantities of items, specifically popcorn and drinks at a movie theater. We are given the price of one bag of popcorn as $6 and one drink as $4.

Cost Calculation for 5 Bags of Popcorn and 7 Drinks

To find the total cost for 5 bags of popcorn and 7 drinks, we use the formula:

Total Cost = (Number of Popcorn Bags × Price per Bag) + (Number of Drinks × Price per Drink)

Plugging in the numbers:

Total Cost = (5 × $6) + (7 × $4)

Total Cost = $30 + $28

Total Cost = $58

General Cost Calculation for pp Bags of Popcorn and dd Drinks

To express this in terms of variables p for popcorn bags and d for drinks:

Total Cost = (p × $6) + (d × $4)

User Nahshon
by
7.8k points
4 votes

a) Since the cost of a bag of popcorn is $6 and the cost of a drink is $4,


\begin{gathered} T=6\cdot5+7\cdot4 \\ \Rightarrow T=30+28=58 \\ \Rightarrow T=58 \end{gathered}

Therefore, the answer to the first question is $58.

b) Substitute 5 for p and 7 for d in the expression above; therefore,


T=6p+4d

The total cost is given by the equation T=6p+4d, where T is in dollars, p is the number of bags of popcorn and d is the number of drinks.

User Thoran
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories