Final answer:
To find the set of purchases closest to Maggie's budget of $20 for decorations, we can compare the cost of different combinations of streamers and balloons. The closest combination is buying 5 rolls of streamers and 6 packages of balloons.
Step-by-step explanation:
To find out which set of purchases is closest to Maggie's budget of $20, we need to compare the cost of different combinations of streamers and balloons with $20. Let's consider a few options:
- If Maggie buys 10 rolls of streamers ($2 x 10 = $20), she will spend the entire budget on streamers and not have any money left for balloons. So, this is not a feasible option as she won't have any decorations other than streamers.
- Alternatively, if Maggie buys 5 rolls of streamers ($2 x 5 = $10) and 6 packages of balloons ($1.50 x 6 = $9), her total cost will be $10 + $9 = $19. This is the closest combination to her budget of $20, and she will have 5 rolls of streamers and 6 packages of balloons for the dance.
- If Maggie buys 10 packages of balloons ($1.50 x 10 = $15), she will still have $20 - $15 = $5 remaining. However, she will not have any streamers for the decorations.
Based on the calculations, the set of purchases closest to Maggie's budget of $20 is buying 5 rolls of streamers and 6 packages of balloons.