To determine if Haley's estimate for the number of floral centerpieces she can make is reasonable, we can perform some simple calculations using division.
- Total number of flowers: 430
- Number of flowers per centerpiece: 17
To find out how many complete centerpieces she can make, we divide the total number of flowers by the number of flowers required for each centerpiece.
\[ \text{Number of centerpieces} = \frac{\text{Total flowers}}{\text{Flowers per centerpiece}} = \frac{430}{17} \]
Now, we perform the division:
First, we estimate how many times 17 fits into 430. We can do a rough approximation to simplify the calculation:
Since \( 17 \times 20 = 340 \) and \( 17 \times 30 = 510 \), we see that:
- \( 340 < 430 < 510 \)
This indicates that it’s somewhere between 20 and 30 centerpieces. For a more accurate calculation:
\[ 430 \div 17 \approx 25.29 \]
Since Haley can only make a whole number of centerpieces, we round down to 25.
Now, checking reasonable rounding, we find:
- 20 centerpieces would require \( 20 \times 17 = 340 \) flowers.
- 30 centerpieces would require \( 30 \times 17 = 510 \) flowers (which exceeds the available 430 flowers).
Thus, she can make a maximum of 25 complete centerpieces with the flowers available.
Conclusion: Since 25 is within the estimated range of 20 to 30, Haley's estimate is reasonable.
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