Question

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

Answer 1

• 7 pink flowering plants

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