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- A committee at the neighborhood recreation center is planning their annual spring social. They have a budget of $295 to plan the event. They have already spent $225 on
various supplies. They still plan to purchase balloons to decorate the room at a cost of $0.65 per balloon. Which of the following inequalities represents the total number of
balloons, b, they can purchase and not spend over their budgeted amount?

Respuesta :

Answer:

There are two inequalities that represent the total number of

balloons, b, they can purchase and not spend over their budgeted amount:

0.65b ≤ 70

0.65b + 225 ≤ 295

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

0.65b ≤ 70

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

0.65b + 225 ≤ 295