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Leya [2.2K]
3 years ago
9

Iced tea and lemonade sell for different prices per gallon at Chicken-Fill-Up. Two gallons of iced tea and 3 gallons of lemonade

cost a total of $23.25. Five gallons of iced tea and 4 gallons of lemonade cost a total of $41.50. What is the price per gallon for each drink at Chicken-Fill-Up? What equation would I use to find the answer?
Mathematics
1 answer:
TEA [102]3 years ago
5 0

Answer:

  • Iced tea is $4.50 per gallon
  • Lemonade is $4.75 per gallon

Step-by-step explanation:

<u>Price</u>:

  • Iced tea = x, lemonade = y

<u>Equations</u>:

  • 2x + 3y = 23.25
  • 5x + 4y = 41.50

<u>Multiply the first equation by 5 and the second equation by 2 and subtract to eliminate x:</u>

  • 5(2x + 3y) - 2(5x + 4y) = 5(23.25) - 2(41.50)
  • 10x + 15y - 10x - 8y = 33.25
  • 7y = 33.25
  • y = 33.25/7
  • y = 4.75

<u>Use the first equation to find x:</u>

  • 2x + 3(4.75) = 23.25
  • 2x = 23.25 - 14.25
  • 2x = 9
  • x = 9/2
  • x = 4.50

Iced tea costs $4.50 per gallon

Lemonade costs $4.75 per gallon

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