Answer:
72 screws are required to make 6 chairs.
108 screws are required to make 9 chairs.
Step-by-step explanation:
We are given the following in the question:
Gary needs 24 screws for every 2 chairs he builds.
We calculate the equivalent ratio to calculate number of screws required.
Ration of chairs to screws can be calculated as:
[tex]\displaystyle\frac{\text{Number of chairs}}{\text{Number of screws}} = \frac{2}{24} = \frac{1}{12} = 1:12[/tex]
This can be interpreted hat 1 chair needs 12 screw.
We have to find number of screws required to make:
1. 6 chairs
Let x be the number of screws required to make 6 chairs, the we can write,
[tex]\displaystyle\frac{6}{x} = \frac{1}{12}\\\\x = 6\times 12 = 72[/tex]
72 screws are required to make 6 chairs.
2. 9 chairs
Let y be the number of screws required to make 9 chairs, the we can write,
[tex]\displaystyle\frac{9}{y} = \frac{1}{12}\\\\y = 9\times 12 = 108[/tex]
108 screws are required to make 9 chairs.
