To solve the problem, we first need to determine the total number of blue flowers Lara has. Since she has 7 dozen blue flowers, we can calculate the total number of flowers as follows:
\[ 7 \text{ dozen} \times 12 \text{ flowers/dozen} = 84 \text{ blue flowers} \]
Next, Lara is making wreaths for 4 craft shows, so we need to divide the total number of blue flowers by the number of shows to find out how many flowers she can use for each show:
\[ \text{Number of blue flowers per show} = \frac{84 \text{ blue flowers}}{4 \text{ shows}} = 21 \text{ blue flowers/show} \]
Now, regarding the partial quotients, we can think of the division as follows: How many times does 4 go into 84?
- We can estimate:
- 4 goes into 80 twenty times (4 x 20 = 80).
- After subtracting 80 from 84, we have 4 remaining.
- 4 goes into 4 one time (4 x 1 = 4).
Thus, two partial quotients we found are 20 and 1.
Therefore, putting the pieces together, the correct response from your options is:
The partial quotients are 20 and 1. The greatest number of flowers is 21.