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?

I figured out the answer! The answer is 7.

8x +5y = 96
plug in 7 for x
8 (7) + 5y = 96
56 + 5y = 96 subtract 56 from both sides
5y/y = 40/5
y = 8

She bought 7 pink and 8 purple plants

Answer 1

7 & 8

Explanation:

Answer 2

For this case we propose a system of equations:

x: Variable representing the plant with pink flowers

y: Variable representing the plant with purple flowers

We have as data that:

`x + y = 15\\8x + 5y = 96`

From the first equation we have to:

`x = 15-y`

Substituting in the second equation:

`8 (15-y) + 5y = 96\\120-8y + 5y = 96\\-3y = 96-120\\-3y = -24\\y = \frac {-24} {- 3}\\y = 8`

Arianna bought 8 purple flowers.

Now we have:

`x = 15-8\\x = 7`

Arianna bought 7 pink flowers.

Answer:

Arianna bought 7 pink flowers.