Create a real world equality problem, then solve:
Example Problem:
Ana sells at least 220 shirts:
Ana Sold 85 shirts in the first 3 weeks of the month:
How many shirts must Ana sell in the last week of the month?
Solution:
Let S = the number of shirts Ana sells in the last week of the month.
Total Number of Shirts for the month must be greater than 220:
We Write: 85 + S ≥ 220
We Solve the inequality by Subtracting 85 from both sides: S ≥ 135
Therefore, Ana must sell 135 or more shirts in the last week to go on the school trip.
Solve: 85 + s ≥ 220 ========> S ≥ 135
Let's solve your inequality step-by-step.
85 + s ≥ 220
Step 1: Simplify both sides of the inequality.
s + 85 ≥ 220
Step 2: Subtract 85 from both sides.
s + 85 − 85 ≥ 220 − 85
s ≥ 135
Answer:
s ≥ 135
Check Problem:
85 + s ≥ 220 ========> S ≥ 135
We see that =====> 85 + 135 = 220
If Ana sells 135, or more shirts, The total number of shirts she sells that month will be 220 or more ========> Answer Checked
Hope that helps!!!!!!!!!!! : )
B) Deana is calculating her driving time for a trip to the beach.
C) Carla is totaling the money made at the student council car wash.
D) Maria is buying gallons of paint to cover the walls of the bedrooms in her home.
Answer:
C) Carla is totaling the money made at the student council car wash.
Step-by-step explanation:
In the case of Carla, who is raising money is important to calculate the exact amount of the proceeds, so it is not possible to make approximations.
In the rest of the scenarios, make an approximation as a practical and quick way to calculate the totals.
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?
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