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Any help? Algebra I

Any help? Algebra I-example-1

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Answer:

  • 2p +3d = 18.25; 4p +2d = 27.50
  • popcorn: $5.75; drink: $2.25

Explanation:

a) Let p and d represent the prices of a bag of popcorn and a drink, respectively.

Mohamed's purchase is ...

2p +3d = 18.25

Miguel's purchase is ...

4p +2d = 27.50

__

b) We can subtract half the second equation from the first to get an equation for the cost of a drink.

(2p +3d) -1/2(4p +2d) = (18.25) -1/2(27.50)

2d = 4.50 . . . . . . simplify

d = 2.25 . . . . . . divide by 2

4p +2(2.25) = 27.50 . . . . substitute for d in the second equation

4p = 23.00 . . . . . . . . . subtract 4.50

p = 5.75 . . . . . . . . . divide by 4

The cost of a bag of popcorn is $5.75; the cost of a drink is $2.25.

User John Greenall
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