Question
You've won a new prize! Go to your game board. Every year, Wayne's grandmother knits him a cozy wool sweater for his birthday. Wayne's favorite color is red, so she plans to buy 700 yards of thick red wool for his sweater this year. She chooses a wool that is sold in 420-foot skeins, or bundles. How many skeins should she buy? Write your answer as a whole number, decimal, or simplified fraction. Do not round.
Answers
GPT-4o mini
To find out how many skeins of wool Wayne's grandmother needs to buy, we first need to convert the total amount of wool needed from yards to feet, because the wool is sold in feet.
1 yard is equal to 3 feet. Therefore, to convert 700 yards to feet:
\[
700 \text{ yards} \times 3 \text{ feet/yard} = 2100 \text{ feet}
\]
Now that we know she needs 2100 feet of wool, we need to determine how many 420-foot skeins are required:
\[
\text{Number of skeins} = \frac{2100 \text{ feet}}{420 \text{ feet/skein}}
\]
Now we can perform the division:
\[
\text{Number of skeins} = \frac{2100}{420} = 5
\]
Thus, Wayne's grandmother should buy **5 skeins** of wool.
1 yard is equal to 3 feet. Therefore, to convert 700 yards to feet:
\[
700 \text{ yards} \times 3 \text{ feet/yard} = 2100 \text{ feet}
\]
Now that we know she needs 2100 feet of wool, we need to determine how many 420-foot skeins are required:
\[
\text{Number of skeins} = \frac{2100 \text{ feet}}{420 \text{ feet/skein}}
\]
Now we can perform the division:
\[
\text{Number of skeins} = \frac{2100}{420} = 5
\]
Thus, Wayne's grandmother should buy **5 skeins** of wool.