Answer:
<u>There are two inequalities that represent the total number of
</u>
<u>balloons, b, they can purchase and not spend over their budgeted amount:</u>
<u>0.65b ≤ 70</u>
<u>0.65b + 225 ≤ 295</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Budget to plan the event = $ 295
Expenses on supplies so far = $ 225
Cost of each balloon = $ 0.65
2. Which of the following inequalities represents the total number of
balloons, b, they can purchase and not spend over their budgeted amount?
1. Let's find how much of the budget is still available:
Budget available = Budget to plan the event - Expenses on supplies so far
Budget available = 295 - 225
Budget available = $ 70
2. Let's find the inequality that represents the total number of
balloons, b, they can purchase and not spend over their budgeted amount.
Number of balloons ≤ Budget available/Cost of each balloon
Replacing with the values we know, we have:
b ≤ 70/0.65
<u>0.65b ≤ 70</u>
or we can write it also including the total budget this way:
Number of balloons ≤ Budget to plan the event - Expenses on supplies so far /Cost of each balloon
Replacing with the values we know, we have:
b ≤ (295 - 225)/0.65
0.65b ≤ 295 - 225
<u>0.65b + 225 ≤ 295</u>
, then 
, and so 
.