To determine if Hailey's estimate of making between 20 and 30 complete centerpieces is reasonable, we can start by calculating how many complete centerpieces she can actually make with the 430 flowers she has.
Part A: Calculation of complete centerpieces
To find out the number of complete centerpieces she can make, we divide the total number of flowers by the number of flowers per centerpiece.
\[ \text{Number of centerpieces} = \frac{\text{Total flowers}}{\text{Flowers per centerpiece}} \]
Substituting in the values:
\[ \text{Number of centerpieces} = \frac{430}{17} \]
Now, we perform the division:
- Divide 430 by 17:
- 17 goes into 43 two times (since 17 x 2 = 34), and when we subtract 34 from 43, we get 9.
- Bring down the next digit (0), making it 90.
- 17 goes into 90 five times (because 17 x 5 = 85), and subtracting gives us 5 left over.
So, when we calculate this division, we find:
\[ 430 \div 17 \approx 25.29 \]
Since she cannot make a fraction of a centerpiece, we round down to the nearest whole number, which means she can make 25 complete centerpieces.
Part B: Evaluating the Reasonableness of the Estimate
Hailey's estimate of being able to make between 20 and 30 centerpieces is indeed reasonable. Here’s how we justify that:
- We calculated that she can make 25 complete centerpieces, which falls directly within her estimate of 20 to 30.
- This calculation shows that not only is her estimate accurate, but it also confirms that she has enough flowers for the project without exceeding or being too far off from her estimated range.
In conclusion, Hailey's estimate of making between 20 and 30 centerpieces is reasonable based on our calculations, indicating that she can indeed create 25 complete centerpieces with the 430 flowers she has.
1 answer