To determine if Haley's estimate is reasonable, we can perform some calculations.
- Each centerpiece requires 17 flowers.
- She has a total of 430 flowers.
We can find out how many complete centerpieces Haley can make by dividing the total number of flowers (430) by the number of flowers needed for each centerpiece (17):
\[ \frac{430 \text{ flowers}}{17 \text{ flowers/centerpiece}} \approx 25.29 \]
Since Haley can only make whole centerpieces, we can round down to 25 complete centerpieces.
Now, let's check if her estimate of being able to make between 20 and 30 centerpieces is reasonable:
- The calculated number, approximately 25, is indeed within her estimated range of 20 to 30 complete centerpieces.
- Furthermore, to ensure no flowers are left over that would preclude the making of an additional centerpiece, we can multiply 25 centerpieces by the number of flowers each requires:
\[ 25 \text{ centerpieces} \times 17 \text{ flowers/centerpiece} = 425 \text{ flowers} \]
Since 425 is less than 430 flowers, she has enough flowers to make 25 complete centerpieces.
Also, if we check for the possibility of making 30 centerpieces:
\[ 30 \text{ centerpieces} \times 17 \text{ flowers/centerpiece} = 510 \text{ flowers} \]
Since 510 flowers would exceed the 430 flowers she has, she cannot make 30 centerpieces.
In summary, Haley's estimate that she can make between 20 and 30 centerpieces is reasonable, as the actual calculation shows she can make exactly 25 complete centerpieces with the flowers she has.
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