Answer:
Explanation:
The inequality that represents Julie's budget constraint is:
2.50x + 3.50y ≤ 35.00
Where:
x = number of helium-filled balloons
y = number of rolls of streamers
To determine how many of each type of decoration Julie can buy, we can plug in different values for x and solve for y. However, we need to keep in mind that both x and y must be non-negative integers since they represent quantities of balloons and rolls of streamers.
Let's start by solving for y when x = 6 (Julie wants to buy 6 balloons):
2.50(6) + 3.50y ≤ 35.00
15 + 3.50y ≤ 35.00
3.50y ≤ 20.00
y ≤ 20.00 / 3.50
y ≤ 5.71
Since y must be a whole number, Julie can buy a maximum of 5 rolls of streamers without going over budget when she buys 6 balloons.
Therefore, Julie can buy 6 balloons and 5 rolls of streamers without exceeding her budget of $35.00.