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. Equation: Solution:

To find the cost of each hamburger, we can set up the equation based on the total amount Daniel spent. The total spent is given by the cost of one hot dog plus the cost of three hamburgers: \[ 2.50 + 3h = 13 \] To solve for \( h \), first, we subtract \( 2.50 \) from both sides: \[ 3h = 13 - 2.50 \] \[ 3h = 10.50 \] Now, divide both sides by 3: \[ h = \frac{10.50}{3} \] \[ h = 3.50 \] Therefore, each hamburger costs \( \$ 3.50 \). Now, let's have some fun exploring the world of lunch choices! Did you know that hot dogs have a long history dating back to the 19th century? They’re believed to have originated from German sausages, making them a delicious bridge between cultures! Speaking of hamburgers, they might be as American as apple pie, but they're actually a global sensation! Next time you're at the beach, why not try adding some unique toppings – like guacamole or pineapple – to your burger? It’s a delightful twist that can elevate your beach lunch to a whole new level!