Cindy buys a party sandwich that is 5 feet long. Her brother cuts off a piece of the sandwich that is 3 /4 foot long. Cindy wants to cut the remaining sandwich into 3-inch pieces to share with guests.

Cindy buys a party sandwich that is 5 feet long Her brother cuts off a piece of the sandwich that is 3 4 foot long Cindy wants to cut the remaining sandwich int class=

Respuesta :

Given:

Length of sandwich Cindy buys = 5 ft

Since her brother cuts off 3/4 ft of the sandwich, the remaining length would be:

[tex]\begin{gathered} =\text{ 5 - }\frac{3}{4} \\ =\text{ }\frac{20-3}{4} \\ =\text{ }\frac{17}{4}\text{ ft} \end{gathered}[/tex]

She wants to cut the sandwich into 3-inch pieces. The number of pieces that she cut is the remaining length of the sandwich divided by the length of each piece.

First, let us convert 3 inches to ft:

[tex]\begin{gathered} \text{= 3 inch }\times\frac{\frac{1}{12}\text{ ft}}{1\text{ inch}} \\ =\frac{3}{12}\text{ ft} \\ =\text{ }0.25\text{ ft} \end{gathered}[/tex]

Hence:

[tex]\begin{gathered} \text{Number of pieces = }\frac{\frac{17}{4}\text{ ft}}{0.25\text{ ft}} \\ =\text{ 17 pieces} \end{gathered}[/tex]

Answer: 17 pieces

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