In a garden,
5
6
6
5
start fraction, 5, divided by, 6, end fraction of the area is filled with native plants. The native plants take up
107
4
m
2
4
107
m
2
start fraction, 107, divided by, 4, end fraction, start text, m, end text, squared. Let
�
gg represent the total area of the garden.
Select
1
11 multiplication and
1
11 division equation to represent the relationship.
Choose 2 answers:
Choose 2 answers:
(Choice A)
�
×
107
4
=
5
6
g×
4
107
=
6
5
g, times, start fraction, 107, divided by, 4, end fraction, equals, start fraction, 5, divided by, 6, end fraction
A
�
×
107
4
=
5
6
g×
4
107
=
6
5
g, times, start fraction, 107, divided by, 4, end fraction, equals, start fraction, 5, divided by, 6, end fraction
(Choice B)
�
×
5
6
=
107
4
g×
6
5
=
4
107
g, times, start fraction, 5, divided by, 6, end fraction, equals, start fraction, 107, divided by, 4, end fraction
B
�
×
5
6
=
107
4
g×
6
5
=
4
107
g, times, start fraction, 5, divided by, 6, end fraction, equals, start fraction, 107, divided by, 4, end fraction
(Choice C)
107
4
÷
5
6
=
�
4
107
÷
6
5
=gstart fraction, 107, divided by, 4, end fraction, divided by, start fraction, 5, divided by, 6, end fraction, equals, g
C
107
4
÷
5
6
=
�
4
107
÷
6
5
=gstart fraction, 107, divided by, 4, end fraction, divided by, start fraction, 5, divided by, 6, end fraction, equals, g
(Choice D)
5
6
÷
107
4
=
�
6
5
÷
4
107
=gstart fraction, 5, divided by, 6, end fraction, divided by, start fraction, 107, divided by, 4, end fraction, equals, g
D
5
6
÷
107
4
=
�
6
5
÷
4
107
=g
5/6 ÷ 107/4 = g
D.
The correct answers are:
(Choice A)
�
×
107
4
=
5
6
g×
4
107
=
6
5
g, times, start fraction, 107, divided by, 4, end fraction, equals, start fraction, 5, divided by, 6, end fraction
and
(Choice C)
107
4
÷
5
6
=
�
4
107
÷
6
5
=gstart fraction, 107, divided by, 4, end fraction, divided by, start fraction, 5, divided by, 6, end fraction, equals, g
To answer this question, we need to understand the relationship between the area of the garden and the area occupied by the native plants.
The question tells us that 5/6 of the garden area is filled with native plants, which is equivalent to 107/4 m².
Now, let's analyze each answer choice:
Choice A: � × 107/4 = 5/6g
This equation suggests that multiplying the total area of the garden by 107/4 and dividing by 5/6 will give us the area of the garden.
Choice B: � × 5/6 = 107/4g
This equation indicates that multiplying the area occupied by the native plants (5/6 of the garden) by 107/4 will give us the area of the garden.
Choice C: 107/4 ÷ 5/6 = �
This equation states that dividing the area occupied by the native plants (107/4) by 5/6 will give us the total area of the garden.
Choice D: 5/6 ÷ 107/4 = �
This equation suggests that dividing the area occupied by the native plants (5/6) by 107/4 will give us the total area of the garden.
From the given information, we can determine that the correct equations are Choice A and Choice C.