Answer :
Final answer:
To find the cost of one rose bush and the cost of one geranium, we can set up a system of equations. Solving this system, we find that the cost of one rose bush is $11 and the cost of one geranium is $9.
Explanation:
To find the cost of one rose bush and the cost of one geranium, we can set up a system of equations using the information given in the question. Let's denote the cost of one rose bush as 'r' and the cost of one geranium as 'g'.
From the information given, we know that Bill spent $240 on 12 rose bushes and 12 geraniums, so we can write the equation: 12r + 12g = 240.
Kali spent $138 on 6 rose bushes and 8 geraniums, so we can write the equation: 6r + 8g = 138.
Now we can solve this system of equations:
Multiplying the first equation by 6 and the second equation by 12, we have:
72r + 72g = 1440
72r + 96g = 1656
Subtracting the first equation from the second equation, we have:
96g - 72g = 1656 - 1440
24g = 216
Dividing both sides by 24, we get the value of g:
g = 216/24 = 9.
Substituting this value of g back into the first equation, we can solve for r:
12r + 12*9 = 240
12r + 108 = 240
12r = 240 - 108
12r = 132
r = 132/12 = 11.
Therefore, the cost of one rose bush is $11 and the cost of one geranium is $9.
