A hotdog stand sells hot dogs for 2.75 each and drinks for $1.50 each. Each person in a group of n people bought two hot dogs and one drink. Which equation gives y, the total cost in dollars

The total cost in dollars, y = $7n.

Step-by-step explanation:

a) Data and Calculations:

Price of hot dogs = $2,75 each

Price of drinks = $1.50 each

Cost of hot dogs bought by one person = 2*2.75 = 5.5

Cost of drinks bought by one person = 1.50

Number of people in a group = n

y = total cost in dollars

y= n($5.5 + 1.50)

y = n * $7

y = $7n

b) Each person's purchase of hot dogs will cost $5.5 (2*2.75).  When the cost of hot dogs per person is added to the cost of drinks per person, we have $7 ($5.50 + 1.50).  This implies each person will consume hot dogs and drinks worth $7.  The total cost will then be $7 multiplied by n, the number of people ($7n).  

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2