Answer :
49 pieces of string can be cut from a ball of string that has 100 feet
Solution:
Given that, Carle is cutting pieces of string that are exactly 24 3/8 inches long
Therefore,
[tex]Length\ of\ each\ string = 24\frac{3}{8}\ inches = \frac{8 \times 24 + 3}{8} = \frac{195}{8}\ inches[/tex]
How many pieces can she cut from a ball of string that has 100 feet
Total length of string = 100 feet
Convert feet to inches
1 feet = 12 inch
100 feet = 1200 inch
Therefore, number of pieces that can be cut is given as:
[tex]\text{Number of pieces } = \frac{\text{total length of string}}{\text{length of each string}}[/tex]
Substituting the values we get,
[tex]\text{Number of pieces } = \frac{1200}{\frac{195}{8}}\\\\\text{Number of pieces } = 1200 \times \frac{8}{195}\\\\\text{Number of pieces } = 49.2307 \approx 49[/tex]
Therefore, 49 pieces of string can be cut from a ball of string that has 100 feet