Answer :
Answer:
The cost of one geranium is $9 and the cost of one rose bush is $8 and the cost of one geranium is $7.
Step-by-step explanation:
37. Let's define the cost of one hosta as x and the cost of one geranium as y.
We can set up two equations based on the information given:
Equation 1: 6x + 7y = 135
Equation 2: 9x + 14y = 234
To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.
From Equation 1, solve for x:
6x = 135 - 7y
x = (135 - 7y)/6
Substitute this expression for x into Equation 2:
9((135 - 7y)/6) + 14y = 234
Multiply both sides of the equation by 6 to get rid of the fraction:
9(135 - 7y) + 84y = 1404
1215 - 63y + 84y = 1404
21y = 189
y = 9
Now substitute this value of y back into Equation 1 to solve for x:
6x + 7(9) = 135
6x + 63 = 135
6x = 135 - 63
6x = 72
x = 12
Therefore, the cost of one geranium is $9.
41. Let's define the cost of one rose bush as x and the cost of one geranium as y.
We can set up two equations based on the information given:
Equation 1: 4x + 6y = 74
Equation 2: 11x + 12y = 172
Again, let's use the method of substitution to solve this system of equations.
From Equation 1, solve for x:
4x = 74 - 6y
x = (74 - 6y)/4
Substitute this expression for x into Equation 2:
11((74 - 6y)/4) + 12y = 172
Multiply both sides of the equation by 4 to get rid of the fraction:
11(74 - 6y) + 48y = 688
814 - 66y + 48y = 688
-18y = -126
y = 7
Now substitute this value of y back into Equation 1 to solve for x:
4x + 6(7) = 74
4x + 42 = 74
4x = 74 - 42
4x = 32
x = 8
Therefore, the cost of one rose bush is $8 and the cost of one geranium is $7.
37)
hostas = h
gereniums = g
kim :
6h + 7g = 135
shayna :
9h + 14g = 234
so the equation will be :
6h + 7g = 135 ⇒ (1)
9h + 14g = 234 ⇒ (2)
we will multiply equ(1) by -2
so it will be :
-12h - 14g = -270 ⇒ (1)
9h + 14g = 234 ⇒ (2)
now we will add 1 to 2
-12h + 9h - 14g + 14g = -270 + 234
-3h + 0g = -36
-3h = -36
h = 12
now we will back to the equation (1)
6h + 7g = 135
6(12) + 7g = 135
7g = 135 - 72
7g = 63
g = 63 ÷ 7
g = 9
so the cost of geranium is 9$
the next question will be in the comment
hostas = h
gereniums = g
kim :
6h + 7g = 135
shayna :
9h + 14g = 234
so the equation will be :
6h + 7g = 135 ⇒ (1)
9h + 14g = 234 ⇒ (2)
we will multiply equ(1) by -2
so it will be :
-12h - 14g = -270 ⇒ (1)
9h + 14g = 234 ⇒ (2)
now we will add 1 to 2
-12h + 9h - 14g + 14g = -270 + 234
-3h + 0g = -36
-3h = -36
h = 12
now we will back to the equation (1)
6h + 7g = 135
6(12) + 7g = 135
7g = 135 - 72
7g = 63
g = 63 ÷ 7
g = 9
so the cost of geranium is 9$
the next question will be in the comment