Subjects algebra

Balloon String

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1. **State the problem:** Brett wants 46 balloon strings, each 9 feet long. String is sold by the yard, and we need to find how many yards of string he needs. 2. **Given:** - Length per balloon string = 9 feet - Number of balloons = 46 - Conversion: 1 foot = \frac{1}{3} yard 3. **Formula:** Total yards needed = (Total feet needed) \times (yards per foot) 4. **Calculate total feet:** $$\text{Total feet} = 9 \times 46 = 414 \text{ feet}$$ 5. **Convert feet to yards:** $$\text{Total yards} = 414 \times \frac{1}{3} = 138 \text{ yards}$$ 6. **Answer:** Brett will need **138 yards** of string for 46 balloons. This means he should buy 138 yards of string to have enough for all balloon strings.