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Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?
6 pink flowering plants
7 pink flowering plants
8 pink flowering plants
9 pink flowering plants

Respuesta :

mhanifa

Answer:

  • 7 pink flowering plants

Step-by-step explanation:

  • Total number of plants = 15
  • Total cost = $96
  • Cost of pink flowering plant = $8
  • Cost of purple flowering plant = $5

Let x and y be the number of plants bought. Then we have equations:

  • 8x + 5y = 96
  • x + y = 15 ⇒ y = 15 - x

Substituting y in the first equation:

  • 8x + 5y = 96
  • 8x + 5(15 - x) = 96
  • 8x + 75 - 5x = 96
  • 3x = 96 - 75
  • 3x = 21
  • x = 7

Correct option is the second one

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