Question

Gavin and Elijiah go to the movie theater and purchase refreshments for their friends. Gavin spends a total of 34.25 on 8 bags of popcorn and 5 drinks. Elijah spends 44.00 on 2 bags of popcorn and 8 drinks. using the equation determine the state price of a bag of popcorn to the nearest cent

Answer 1

Popcorn cost $1 each

Drinks cost $5.25 each.

Explanation:

Let the price of each popcorn be X

And the price of the same drink be y

Statement one translates to;

8x + 5y = 34.25-----------------------------(1)

Statement for Elijah translate to;

2x + 8y = 44-----------------(2)

x = 22- 4y [ dividing through by 2 and making X the subject formula]----------(3)

Substitute (3) in (1); we have :

8 ( 22-4y) + 5y = 34.25

176 -32y + 5y = 34.25

176-34.25 = 32y-5y

141.75= 27y

y= 141.75/ 27 =5.25

From, (3)

x= 22- 4(5.25)= 22-21 =1