Sabrina uses 9 inches of ribbon to make one bow. Sabrina buys 7 packets of ribbon. Each packet of ribbon is 4.5 yards long. How many bows can Sabrina make with the 7 packets of ribbon?

Answers

Answer 1

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]


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