High School

Nicole and Eduardo each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store.

Nicole spent $152 on 12 rose bushes and 4 geraniums. Eduardo spent $166 on 12 rose bushes and 11 geraniums.

What is the cost of one rose bush and the cost of one geranium?

A) rose bush: $12, geranium: $2
B) rose bush: $19, geranium: $3
C) rose bush: $13, geranium: $4
D) rose bush: $10, geranium: $4

Answer :

The cost of one rose bush and the cost of one geranium $12 and $2 respectively.

Find the cost of one rose bush and the cost of one geranium?

let

  • cost of rose bush = x
  • Cost of geranium = y

12x + 4y = 152

12x + 11y = 166

Subtract the equation to eliminate x

11y - 4y = 166 - 152

7y = 14

divide both sides by 7

y = 14/7

y = $2

Substitute y = 2 into (1)

12x + 4y = 152

12x + 4(2) = 152

12x + 8 = 152

12x = 152 - 8

12x = 144

x = 144/12

x = $12

Therefore, the cost of rose bush and geranium is $12 and $2 respectively.

Learn more about simultaneous equation:

https://brainly.com/question/16863577

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Final answer:

The answer provides the cost of one rose bush and one geranium based on the given information about Nicole and Eduardo's purchases.

Explanation:

Nicole: 12 rose bushes + 4 geraniums = $152

Eduardo: 12 rose bushes + 11 geraniums = $166

Cost of one rose bush: $12, Cost of one geranium: $4

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