Answer:
one Bush costs $19 and one geranium costs $6
Step-by-step explanation:
Let the cost of one Bush be x
Let the cost of one geranium be y
If Heather spent $50 on 2 rose bushes and 3 geraniums, then the equation that represent the statement is:
2x+3y = 50….... 1
If amanda spent $186 on 6 rose bushes and 12 geraniums, then the equation representation will be:
6x+12y = 186…......2
Solve equations 1 and 2 simultaneously
2x+3y = 56..... 1 × 3
6x+12y = 186 ..... 2 × 1
.......…............
6x+9y = 168
6x+12y = 186
Subtract
9y - 12y = 168-186
-3y = -18
y = -18/-3
y = 6
Substitute y = 6 into equation 1:
2x+3y = 56
2x+3(6) = 56
2x+18 = 56
2x = 56-18
2x = 38
x = 38/2
x = 19
Hence one Bush costs $19 and one geranium costs $6
NB: note that the y rose bushes in the question was corrected and 6 rose bushes was used instead in the equation.
