Question

Caleb and Jeremiah go to the movie theater and purchase refreshments for their

Answer 1

Answer:

price of each bags of popcorn = $9.75

price of each drinks = $5

Step-by-step explanation:

Let

price of each bags of popcorn = a

price of each drinks = b

Caleb total cost

7a + 2b = 78.25.......(i)

Jeremiah total cost

a + 10b = 59.75.......(ii)

7a + 2b = 78.25

a + 10b = 59.75

a = 59.75 - 10b

insert the value of a in equation (i)

7a + 2b = 78.25

7( 59.75 - 10b) + 2b = 78.25

418.25 - 70b + 2b =  78.25

418.25 - 68b = 78.25

418.25 - 78.25 = 68b

340 = 68b

b = 340/68

b = 5

Insert the value of b in equation (ii)

a + 10b = 59.75.......(ii)

a + 10 × 5 = 59.75

a = 59.75 - 50

a = 9.75

price of each bags of popcorn = $9.75

price of each drinks = $5