Answer :
Final answer:
The cost of one rose bush is $6 and the cost of one geranium is $11.
Explanation:
To find the cost of one rose bush and one geranium, we need to solve the given equations. Let's assign variables to the unknowns:
Let the cost of one rose bush be R and the cost of one geranium be G.
From the given information:
Adam spent $110 on 11 rose bushes and 4 geraniums, so we have the equation: 11R + 4G = 110
Abhasra spent $138 on 1 rose bush and 12 geraniums, so we have the equation: R + 12G = 138
Now we can solve this system of equations to find the values of R and G. Here's how:
Multiplying the second equation by 11 to match the coefficients of R, we get: 11R + 132G = 1518
Subtracting the first equation from the modified second equation, we get: 132G - 4G = 1518 - 110
Simplifying, we have: 128G = 1408
Dividing both sides by 128, we find: G = 11
Substituting the value of G back into the first equation, we have: 11R + 44 = 110
Simplifying, we find: 11R = 66
Dividing both sides by 11, we find: R = 6
Therefore, the cost of one rose bush is $6 and the cost of one geranium is $11.
