Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20. Let x represent how much each cupcake costs. Which inequality describes the problem? Choices: (A)4x ≥ 20 (B)4x ≤ 20 Solve the inequality. Then, complete the sentence to describe the solution. Each cupcake costs at most $____.

Question

Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20. Let x represent how much each cupcake costs. Which inequality describes the problem?   Choices: (A)4x ≥ 20 (B)4x ≤ 20    Solve the inequality. Then, complete the sentence to describe the solution. Each cupcake costs at most $____.

Bytelearn · Accepted Answer

Problem Understanding:  Question Prompt: Which inequality describes the problem of the cost of a box of cupcakes and what is the maximum cost per cupcake? Inequality Setup:  Step 1: Understand the problem. Each box contains 4 cupcakes and costs at most $20. We need to find the maximum price per cupcake, x. Inequality Solution:  Step 2: Set up the inequality. Since a box of 4 cupcakes costs at most $20, the inequality that represents this situation is 4x ≤ 20, where x is the cost per cupcake. Solution Interpretation:  Step 3: Solve the inequality. Divide both sides of the inequality 4x ≤ 20 by 4 to isolate x. 4x ≤ 20 x ≤ 20 / 4 x ≤ 5  Step 4: Interpret the solution. The inequality x ≤ 5 means each cupcake costs at most $5.

Full solution

More problems from One-step inequalities: word problems

Related topics