Question

The Rundown movie theater sells only two kinds of food: popcorn and hot dog. the popcorn sells for $5 per bag and hot dogs sell for $6 each if the theater sold 121 food items popcorn and hot dogs combined in collected a total of $637 how many bags of popcorn did it sell

Answer 1

637= 5x+ 6y       with trial and error:  5(20) +6(101)= 100+601=701, 5(101)+(6(20)= 505+120=625, 6(30)+5(91)= 180+455= 635, 6(32)+5(89)= 192+445=637   so 32 hot dogs and 89 bags. 

Answer 2

Answer:

89 Bags of popcorn

Step-by-step explanation:

P=popcorn

H=hot dogs

P+H=121 solve for P

P=121-H

we also know

5(P) + 6(H)=637 so we plug in the P value

5(121-H)+6H=637

605-5H+6H=637

subtract 605 from both sides leaves

H=32

then plug back into original equation

P+32=121

P=89