Mia is going to purchase some writing instruments at the school store, where mechanical pencils cost $1 and pens cost $3. She can spend up to $12, but not more. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of mechanical pencils Mia will buy y = the number of pens Mia will buy Choices: (A)x + 3y ≥ 12 (B)3x + y ≥ 12 (C)x + 3y ≤ 12 (D)3x + y ≤ 12

Question

Mia is going to purchase some writing instruments at the school store, where mechanical pencils cost $1 and pens cost $3. She can spend up to $12, but not more.  Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of mechanical pencils Mia will buy y = the number of pens Mia will buy     Choices: (A)x + 3y ≥ 12 (B)3x + y ≥ 12 (C)x + 3y ≤ 12 (D)3x + y ≤ 12

Bytelearn · Accepted Answer

Calculate Mechanical Pencils Cost: Determine the cost per item for mechanical pencils and pens. Mechanical pencils cost $1 each, so the total cost for mechanical pencils is 1 times the number of mechanical pencils Mia will buy, which is represented by x. Therefore, the cost for mechanical pencils is x dollars.Calculate Pens Cost: Determine the cost per item for pens. Pens cost $3 each, so the total cost for pens is 3 times the number of pens Mia will buy, which is represented by y. Therefore, the cost for pens is 3y dollars.Combine Total Cost: Combine the costs for mechanical pencils and pens to represent the total amount Mia will spend. The total cost is the sum of the cost for mechanical pencils and the cost for pens, which gives us x + 3y dollars.Set Spending Limit: Mia can spend up to $12, but not more. This means that the total cost of mechanical pencils and pens must be less than or equal to $12. Therefore, the inequality that describes this situation is x + 3y ≤ 12.

Full solution

More problems from Write two-variable inequalities: word problems

Related topics