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faust18 [17]
3 years ago
11

Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flo

wering 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
Mathematics
2 answers:
Orlov [11]3 years ago
8 0

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.

Nataliya [291]3 years ago
3 0

Answer:

7 & 8

Step-by-step explanation:

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