Respuesta :
Answer:
The cost of 1 Rose Bush= $ 8
The cost of 1 Shrub = $12.
Step-by-step explanation:
The cost of 11 rose bushes and 4 shrubs = $136
The cost of 2 rose bushes and 11 shrubs = $148
Let the cost of one rose bush = $x
and the cost of one shrub = $ y
Now, according to the question:
11 x + 4 y = 136
and 2 x + 11 y = 148
From (1), we get that 11x = 136 - 4y
or, [tex]x = \frac{136 - 4y}{11}[/tex]
Substitute this value of x in equation (2), we get
[tex]2 x + 11 y = 148 \implies 2( \frac{136 - 4y}{11}) + 11y = 148[/tex]
or, [tex]( \frac{272 - 8y}{11}) + 11y = 148 \implies 272 - 8y + 121y = 1628[/tex]
or, 113 y = 1356
or, y = 1356/113 = 12
⇒ y = 12, So [tex]x = \frac{136 - 4y}{11} = \frac{136 -12(4)}{11} = \frac{136 - 48}{11} = 8[/tex]
or, x =8 and y = 12 is the solution of the above system.
Hence, the cost of 1 rose bush = $x = $8
and The cost of 1 shrub = $ y = $12.
