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Eric's kite spool had 100 yards of string. At first, he let out 50 feet of string. Then, the kite rose for another 16 yards. How much string was left on the spool?

Ask by Hodgson Daniels. in the United States
Feb 28,2025

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Tutor-Verified Answer

Answer

There were 67.33 yards of string left on the spool.

Solution

To find out how much string was left on the spool, we need to convert the measurements to the same unit and then subtract the total length of string used from the initial length of string on the spool. Given: - Initial length of string on the spool = 100 yards - First, Eric let out 50 feet of string - Then, the kite rose for another 16 yards First, we need to convert 50 feet to yards. Since 1 yard = 3 feet, we can convert 50 feet to yards as follows: 50 feet = 50 / 3 yards Now, we can calculate the total length of string used by Eric: Total length of string used = 50 / 3 yards + 16 yards Finally, we can find out how much string was left on the spool by subtracting the total length of string used from the initial length of string on the spool: String left on the spool = 100 yards - (50 / 3 yards + 16 yards) Let's calculate this. Calculate the value by following steps: - step0: Calculate: \(100-\left(\frac{50}{3}+16\right)\) - step1: Add the numbers: \(100-\frac{98}{3}\) - step2: Reduce fractions to a common denominator: \(\frac{100\times 3}{3}-\frac{98}{3}\) - step3: Transform the expression: \(\frac{100\times 3-98}{3}\) - step4: Multiply the numbers: \(\frac{300-98}{3}\) - step5: Subtract the numbers: \(\frac{202}{3}\) Eric's kite spool had 100 yards of string. After letting out 50 feet of string and the kite rising for another 16 yards, there were 67.33 yards of string left on the spool.

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First, we need to convert everything to the same unit. Eric's spool has 100 yards of string, which is equivalent to 300 feet (since 1 yard = 3 feet). He initially let out 50 feet of string and then flew the kite up for another 16 yards, which equals 48 feet (16 yards x 3 feet per yard). So, the total string used is 50 feet + 48 feet = 98 feet. Now, we subtract the total amount of string used from the original amount: 300 feet - 98 feet = 202 feet remaining on the spool. Eric has 202 feet of string left on his spool!

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