Respuesta :
Answer:
Cost of one rose bush is $8 and cost of one shrub is $4 .
Step-by-step explanation:
Let us assume that the cost of one rose bush be x .
Let us assume that the cost of one shrub be y .
As given
Mofor and Stephanie each improved their yards by planting rose bushes and shrubs.
They bought their supplies from the same store.
Mofor spent $96 on 8 rose bushes and 8 shrubs.
Equations becomes
8x + 8y = 96
As given
Stephanie spent $88 on 8 rose bushes and 6 shrubs.
Equations becomes
8x + 6y = 88
Thus the two equation becomes
8x + 8y = 96
8x + 6y = 88
Subtracted 8x + 6y = 88 from 8x + 8y = 96 .
8x - 8x + 8y - 6y = 96 -88
2y = 8
[tex]y = \frac{8}{2}[/tex]
y = $4
Put the value of y = 4 in the equation 8x + 6y = 88 .
8x + 6 × 4 = 88
8x + 24 = 88
8x = 88 - 24
8x = 64
[tex]x = \frac{64}{8}[/tex]
x = $8
Therefore the cost of one rose bush is $8 and cost of one shrub is $4 .
