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3 years ago

Elijah and Bentley go to the movie theater and purchase refreshments for their friends.

Mathematics

2 answers:

Katena32 [7]3 years ago

4 0

Answer: let P stand for the popcorn and D stand for the drink. Use substitution method

equation: 4P+10D=59 and 8P+6D=90

One drink is 2 dollar and one popcorn is 9.75 dollar.

Step-by-step explanation:

Start with 8P+6D=90, subtract 6D from both side and you will get 8P=90-6D then divide both side by 8 and you will get P=(45/4)-(3/4D) then substitute the P in the 4P+10D=59 with (45/4)-(3/4D) and the equation will be 4(45/4)-(3/4D)+10D=59. then distribute the 4 and get 45-3D+10D=59 then add the like term and get 45+7D=59 then subtract 45 from both side and get 7D=14 the divide 7 on both side and you will end up with D=2. then substitute the D in the 8P+6D=90 with 2 and the equation will be 8P+6(2)=90 then you distribute the 6 and get 8P+12=90 then subtract both side to get 8P=78 then divide both side by 8 and get 9.75. Popcorn cost $9.75 and drink cost $2.

labwork [276]3 years ago

3 0

Answer:

x4+y10=59

Step-by-step explanation:

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To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559

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