Problem

Use the following information to answer question 2. Aaron buys a cheeseburger for $\$ 6.50$ and a container of milk for $\$ 0.80$. Sam buys a tossed salad and a bowl of soup. The soup costs $\$ 2.00$ more than the salad. Sam's meal is less expensive than Aaron's meal. 2. Which of the following number lines could represent the price of Sam's salad?

Solution

Step 1 :Let the price of the salad be x and the price of the soup be x + 2.

Step 2 :Write the inequality for Sam's meal cost: x + (x + 2) < 7.30.

Step 3 :Solve the inequality: 2x + 2 < 7.30.

Step 4 :Subtract 2 from both sides: 2x < 5.30.

Step 5 :Divide both sides by 2: x < 2.65.

Step 6 :\(\boxed{2.65}\) is the maximum price for Sam's salad.

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Source: https://solvelyapp.com/problems/35544/

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