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Josh bought 3 bottles of grape juice and 5 bottles of water for a total of $14.50. Mary bought 2 bottles
of grape juice and 3 bottles of water for a total of $9.00. How much does the grape juice cost and the water?

Respuesta :

mhanifa

Answer:

  • Bottle of water = $2
  • Bottle of grape juice = $1.50

Step-by-step explanation:

  • Grape juice = g
  • Water = w

Equations:

  • 3g + 5w = 14.50
  • 2g + 3w = 9.00

Subtract the 3 times the second equation from the twice the first:

  • 2*(3g + 5w) - 3(2g + 3w) = 2*14.50 - 3*9.00
  • 6g + 10w - 6g - 9w = 29 - 27
  • w = 2

Then, finding g:

  • 3g  + 2*5= 14.50
  • 3g = 14.50 - 10
  • 3g = 4.5
  • g = 1.50

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