Carlos is hoping to save at least $200 in the next four weeks. His mom gives him $30, and he earns money each Saturday morning at his grandmother’s store. Write an inequality for the amount of money Carlos will need to earn each Saturday morning, and describe the solutions. Assume Carlos will earn the same amount each Saturday morning. write an inequality for this question
Let's represent the amount of money Carlos needs to earn each Saturday morning as "x".
The inequality representing the amount of money Carlos will need to earn each Saturday morning is:
x ≥ (200 - 30) ÷ 4
Simplifying the expression inside the parentheses:
x ≥ 170 ÷ 4
x ≥ 42.5
The solutions to this inequality represent the possible values for the amount of money Carlos will need to earn each Saturday morning. Since the number of dollars must be a whole number, Carlos will need to earn $43 or more each Saturday morning.
3 step
Sure! Here are the three steps to represent the amount of money Carlos will need to earn each Saturday morning:
Step 1: Define the variable.
Let's represent the amount of money Carlos needs to earn each Saturday morning as "x".
Step 2: Write the equation or inequality.
Since Carlos is hoping to save at least $200 in the next four weeks, we can set up the following inequality:
x * 4 ≥ 200
Step 3: Simplify and solve the inequality.
To find the minimum amount Carlos needs to earn each Saturday morning, we divide both sides of the inequality by 4:
x ≥ 200 ÷ 4
x ≥ 50
Therefore, the amount of money Carlos will need to earn must be greater than or equal to $50 each Saturday morning to save at least $200 in the next four weeks.