At a football game, a vendor sold a combined total of 195 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. How many hot dogs and sodas were sold?

8. Lakeshia once rented 6 movies and 5 video games for a total of $44. The next month, she rented 2 movies and 3 video games for a total of $22. What is the cost per video game and the cost per movie?

a. Hot dogs = 65, soda = 130

b. Movie = $2.75, video = $5.5

Step-by-step explanation:

a. Let the number of hot dogs sold be y, therefore the number of soda sold will be 2*y = 2y

y + 2y = 195

3y = 195

y = 195/3

y = 65

Hot dogs sold = 65

Soda sold = 65 * 2 = 130

b. Let movie be m, let video be v.

6m + 5v = 44 ... equation 1

2m + 3v = 22 ... equation 2

Multiply equation 1 by 2

Multiply equation 2 by 6

12m + 10v = 88

12m + 18v = 132

Subtract

12m + 10v = 88

-12m + 18v = 132

-8v = - 44

v = 44/8

v = $5.5

Cost per video game is $5.5

From equation 1,

6m + 5v = 44

6m + 5 (5.5) = 44

6m + 27.5 = 44

6m = 44 - 27.5

6m = 16.5

m = 16.5/6

m = 2. 75

Cost per movie is $2.75.