Beth and James each improved their yards by planting rose bushes and geraniums.

They bought their supplies from the same store. Beth spent $86 on 10 rose bushes

and 3 geraniums. James spent $24 on 1 rose bush and 8 geraniums,

Write a system of equations that models this scenario.

A) 10x + 3y = 86, 8x + y = 24

B) 10x + 3y = 24, 8x + y = 86

C) 10x + 3y = 24, X + 8y = 86

D) 10x + 3y = 86, X + 8y = 24

Answer: option D is the correct answer.

Step-by-step explanation:

Let x represent the cost of one rose bush.

Let y represent the cost of one geranium.

They bought their supplies from the same store. Beth spent $86 on 10 rose bushes and 3 geraniums. The expression would be

10x + 3y = 86

James spent $24 on 1 rose bush and 8 geraniums. The expression would be

x + 8y = 24

Therefore, the system of equations that models this scenario is

10x + 3y = 86

x + 8y = 24