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.
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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!