Answer:
126 bows
Explanation:
Given
[tex]9\ inches = 1\ bow[/tex]
[tex]1\ packet = 4.5\ yd[/tex]
Required
Determine the number of bows that can be made from 7 packets
First, we calculate the length of 7 packets
[tex]1\ packet = 4.5\ yd[/tex]
Multiply both sides by 7
[tex]7 * 1\ packet = 4.5\ yd * 7[/tex]
[tex]7\ packets = 31.5\ yd[/tex]
Convert 31.5 yards to inches (Multiply by 36)
[tex]7\ packets = 31.5\ yd * 36[/tex]
[tex]7\ packets = 1134\ in[/tex]
Represent the number of bows that can be made from 1134 inches or 7 packets with x.
So, we have:
[tex]1134\ inches = x[/tex] and
[tex]9\ inches = 1\ bow[/tex]
Cross Multiply:
[tex]x * 9\ inches = 1\ bow * 1134\ inches[/tex]
[tex]x * 9= 1\ bow * 1134[/tex]
[tex]9x = 1134\ bows[/tex]
Divide both sides by 9
[tex]\frac{9x}{9} = \frac{1134\ bows}{9}[/tex]
[tex]x = \frac{1134\ bows}{9}[/tex]
[tex]x = \frac{1134}{9}\ bows[/tex]
[tex]x = 126\ bows[/tex]
