Mr. Dawson is making a grocery budget for the month of April. He plans to split the budget equally among 4 shopping trips. To stay under budget, Mr. Dawson figures he should spend less than $180 each trip. Let x represent how much Mr. Dawson wants to spend on groceries in April. Which inequality describes the problem? Choices: (A)x/4 180 Solve the inequality. Then, complete the sentence to describe the solution. Mr. Dawson wants to spend less than $____ on groceries in April.

Question

Mr. Dawson is making a grocery budget for the month of April. He plans to split the budget equally among 4 shopping trips. To stay under budget, Mr. Dawson figures he should spend less than $180 each trip.  Let x represent how much Mr. Dawson wants to spend on groceries in April. Which inequality describes the problem?   Choices: (A)x/4 < 180 (B)x/4 > 180    Solve the inequality. Then, complete the sentence to describe the solution. Mr. Dawson wants to spend less than $____ on groceries in April.

Bytelearn · Accepted Answer

Understand the problem:  Step 1: Understand the problem and set up the inequality. Mr. Dawson wants each of his 4 shopping trips to cost less than $180 to stay under his total budget for the month. We need to find the total budget x for the month that satisfies this condition. Mathematically, this translates to each trip costing less than $180, so for 4 trips, we write the inequality: x/4 < 180 Set up inequality:  Step 2: Solve the inequality for x. To find the total budget x, multiply both sides of the inequality by 4 (to isolate x on one side): x < 180 * 4 x < 720 Solve for x:  Step 3: Interpret the solution. Since x represents Mr. Dawson's total grocery budget for April, and we found x < 720, Mr. Dawson wants to spend less than $720 on groceries in April.

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