Joe is buying apples and persimmons at the grocery store. Each apple costs $0.99, and each persimmon costs $0.79. If Joe has $10, which of the following inequalities describes x, the number of apples, and y, the number of persimmons, that he can buy? Choose 1 answer: (A) 0.79 x+0.99 y = 10 (B) 0.99 x+0.79 y = 10 (c) 0.79 x+0.99 y

Question

Joe is buying apples and persimmons at the grocery store. Each apple costs $0.99, and each persimmon costs $0.79. If Joe has $10, which of the following inequalities describes x, the number of apples, and y, the number of persimmons, that he can buy? Choose 1 answer: (A) 0.79 x+0.99 y >= 10 (B) 0.99 x+0.79 y >= 10 (c) 0.79 x+0.99 y <= 10 (D) 0.99 x+0.79 y <= 10

Bytelearn · Accepted Answer

Step 1: Determine cost per apple and persimmon: Determine the cost per apple and the cost per persimmon. We are given that each apple costs $0.99 and each persimmon costs $0.79. Step 2: Define variables for number of apples and persimmons: Let x represent the number of apples Joe can buy, and y represent the number of persimmons. The total cost for apples is then 0.99x, and the total cost for persimmons is 0.79y. Step 3: Combine costs of apples and persimmons: Combine the costs to express the total amount Joe spends on apples and persimmons. This is the sum of the cost of apples and the cost of persimmons, which is 0.99x + 0.79y. Step 4: Set the total cost inequality: Joe has $10 to spend, so the total cost of apples and persimmons must be less than or equal to $10. This gives us the inequality 0.99x + 0.79y <= 10. Step 5: Match the derived inequality with answer choices: Check the answer choices to find the inequality that matches our derived inequality. The correct inequality is (D) 0.99x + 0.79y <= 10.

Full solution

More problems from Write two-variable inequalities: word problems

Related topics