Question
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10. While at the beach, Daniel buys lunch for his family from a food stand. He purchases one hot dog for \( \$ 2.50 \) and 3 hamburgers. If he spent \( \$ 13 \) total, write and solve an equation to find \( h \), the amount each hamburger cost.

Ask by Ball Moreno. in the United States
Jan 24,2025

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Tutor-Verified Answer

Answer

Each hamburger costs \$3.50.

Solution

To determine the cost of each hamburger (\( h \)), let's set up an equation based on the information provided. **Given:** - Cost of one hot dog = \$2.50 - Number of hamburgers purchased = 3 - Total amount spent = \$13.00 **Let:** - \( h \) = cost of one hamburger **Setting Up the Equation:** The total cost is the sum of the cost of the hot dog and the cost of the three hamburgers. \[ \text{Total Cost} = \text{Cost of Hot Dog} + \text{Cost of Hamburgers} \] \[ \$13.00 = \$2.50 + 3h \] **Solving for \( h \):** 1. Subtract \$2.50 from both sides of the equation to isolate the term with \( h \): \[ 3h = \$13.00 - \$2.50 \] \[ 3h = \$10.50 \] 2. Divide both sides by 3 to solve for \( h \): \[ h = \frac{\$10.50}{3} \] \[ h = \$3.50 \] **Answer:** Each hamburger costs **\$3.50**.

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To find the cost of each hamburger, we can start by setting up the equation based on the information given. Daniel spent a total of \$13. The cost of the hot dog is \$2.50, and the total number of hamburgers he bought is 3. The equation can be represented as: \[ 2.50 + 3h = 13 \] Now, subtract \$2.50 from both sides: \[ 3h = 13 - 2.50 \] \[ 3h = 10.50 \] Next, divide both sides by 3 to find \( h \): \[ h = \frac{10.50}{3} = 3.50 \] Thus, each hamburger costs \( \$3.50 \). Now, here comes the fun part! Did you know that hot dogs and hamburgers have had a long-standing rivalry at summer cookouts and sporting events? While the classic hot dog is loved by many, hamburgers often steal the show with their juicy patties and toppings galore. Next time you're at a grill-out, consider staging a flavor battle between the two! On a practical note, remember that when calculating expenses like Daniel did, it helps to break down costs into parts as he did. This tactic can help avoid spending over budget and is super handy for everything from family outings to grocery shopping! Always keep an eye on individual prices and totals—it can save you a lot in the long run!

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