Question

Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that has 100 feet

Answer 1

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,

`Length\ of\ each\ string = 24(3)/(8)\ inches = (8 * 24 + 3)/(8) = (195)/(8)\ inches`

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:

`\text{Number of pieces } = \frac{\text{total length of string}}{\text{length of each string}}`

Substituting the values we get,

`\text{Number of pieces } = (1200)/((195)/(8))\\\\\text{Number of pieces } = 1200 * (8)/(195)\\\\\text{Number of pieces } = 49.2307 \approx 49`

Therefore, 49 pieces of string can be cut from a ball of string that has 100 feet