To solve the problems, let's break them down step by step:
A. How many slices will Jordan have?
First, we need to calculate the total length of bread that Jordan has. Since he bakes two 12-inch loaves of bread, the total length is:
\[ \text{Total length} = 2 \times 12 \text{ inches} = 24 \text{ inches} \]
Next, since each slice is \( \frac{5}{8} \) inch thick, we can find the number of slices by dividing the total length of the bread by the thickness of each slice:
\[ \text{Number of slices} = \frac{\text{Total length}}{\text{Thickness of each slice}} = \frac{24 \text{ inches}}{\frac{5}{8} \text{ inch}} = 24 \text{ inches} \times \frac{8}{5} = \frac{192}{5} = 38.4 \]
Since Jordan cannot cut a partial slice, he can make 38 slices of bread.
B. How many total inches of bread were cut into 38 slices?
To find the total inches of bread used to make 38 slices, we multiply the number of slices by the thickness of each slice:
\[ \text{Total inches used} = \text{Number of slices} \times \text{Thickness of each slice} = 38 \times \frac{5}{8} \]
Calculating this gives:
\[ 38 \times \frac{5}{8} = \frac{190}{8} = 23.75 \text{ inches} \]
So, 23.75 inches of bread were cut into 38 slices.
C. How much bread will be left over?
To find the leftover bread, we subtract the amount of bread used to make the slices from the total length of bread:
\[ \text{Leftover bread} = \text{Total length} - \text{Total inches used} = 24 \text{ inches} - 23.75 \text{ inches} = 0.25 \text{ inches} \]
Thus, Jordan will have 0.25 inches of bread left over.
Summary of Answers:
A. 38 slices
B. 23.75 inches
C. 0.25 inches
1 answer