Question

Christian and Benjamin go to the movie theater and purchase refreshments for their friends.

Answer 1

Answer:

System of equations:

6d + 3p = 42.75

10d + 15p = 98.75

Drink = $5.75

Popcorn = $2.75

Step-by-step explanation:

6d + 3p = 42.75

subtract 6d from both sides

3p = 42.75 - 6d

divide both sides by 3

p = 14.25 - 2d

substitute P in the second equation with the answer and solve for D

10d + 15( 14.25 - 2d) = 98.75

distribute out the 15

10d + 213.75 -30d = 98.75

-20d + 213.75 = 98.75

subtract 213.75 from both sides

-20d = -115

divide both sides by -20

d = 5.75

substitute D back in the first equation and solve for P

3p + 6(5.75) = 42.75

multiply the 6 and 5.75

3p + 34.5 = 42.75

subtract 34.5 from both sides

3p = 8.25

divide both sides by 3

p = 2.75