Final answer:
To find the combination of streamers and balloons Nicki can purchase, we set up an inequality 0.50x + 0.25y ≥ 20.00. By testing different values of x and y, we find that there are no combinations that satisfy the inequality.
Nicki can purchase with $20.00 at the Party Palace.
Step-by-step explanation:
To find the combination of streamers and balloons that Nicki can purchase with $20.00, we need to consider the prices and quantities of each item. Let's assume Nicki buys x streamers and y balloons.
The cost of x streamers is 0.50x, and the cost of y balloons is 0.25y. Since Nicki wants to purchase at least 65 party decorations, we have the inequality:
0.50x + 0.25y ≥ 20.00
Simplifying the inequality, we can rewrite it as:
2x + y ≥ 80
To find the combinations of x and y that satisfy this inequality, we can provide a few examples:
If Nicki buys 30 streamers and 80 balloons, the total cost would be $22.50 which is greater than $20.00.
If Nicki buys 40 streamers and 80 balloons, the total cost would be $32.00 which is also greater than $20.00.
- If Nicki buys 50 streamers and 75 balloons, the total cost would be $37.50 which is still greater than $20.00.
Therefore, there are no combinations of streamers and balloons that Nicki can purchase with $20.00 at the Party Palace.