Final answer:
The church will have 109/4 dozen of offering envelopes after adding the initial 12 1/2 dozen with the ordered 14 3/4 dozen.
Step-by-step explanation:
The student asked about how many dozen boxes Good Haven Church will have after ordering more offering envelopes. To find this, we'll need to add the two quantities of dozens together. The church initially had 12 1/2 dozen boxes and ordered an additional 14 3/4 dozen boxes. First, we convert these mixed numbers to improper fractions:
- 12 1/2 dozen = (12 × 2 + 1)/2 = 25/2 dozen
- 14 3/4 dozen = (14 × 4 + 3)/4 = 59/4 dozen
Then we add the two fractions:
(25/2) + (59/4) = (25 × 2 + 59)/4 = (50 + 59)/4 = 109/4
So, after the order, the church will have 109/4 dozen boxes of offering envelopes.