Question

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.

Answer 1

Given:

Length of sandwich Cindy buys = 5 ft

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

`\begin{gathered} =\text{ 5 - }(3)/(4) \\ =\text{ }(20-3)/(4) \\ =\text{ }(17)/(4)\text{ ft} \end{gathered}`

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:

`\begin{gathered} \text{= 3 inch }*\frac{(1)/(12)\text{ ft}}{1\text{ inch}} \\ =(3)/(12)\text{ ft} \\ =\text{ }0.25\text{ ft} \end{gathered}`

Hence:

`\begin{gathered} \text{Number of pieces = }\frac{(17)/(4)\text{ ft}}{0.25\text{ ft}} \\ =\text{ 17 pieces} \end{gathered}`

Answer: 17 pieces