19. Represent and Connect Jamal is buying lunch for his family. He buys 4 drinks that each cost \( \$ 1.75 \) and 4 sandwiches that each cost \( \$ 7.50 \). If the prices include tax and he also leaves a \( \$ 7 \) tip, how much does he spend in all? Write equations to show your work.

Let's denote the total cost of the drinks as \( D \) and the total cost of the sandwiches as \( S \). Given: - The cost of each drink is \( \$1.75 \). - The cost of each sandwich is \( \$7.50 \). - Jamal buys 4 drinks and 4 sandwiches. We can write the equations to represent the total cost of the drinks and sandwiches as follows: 1. Total cost of drinks: \( D = 4 \times \$1.75 \) 2. Total cost of sandwiches: \( S = 4 \times \$7.50 \) Now, we need to find the total cost of the lunch, which includes the cost of drinks, sandwiches, and the tip. Let's denote the total cost as \( T \). The total cost of the lunch is the sum of the cost of drinks, sandwiches, and the tip: \[ T = D + S + \$7 \] Substitute the values of \( D \) and \( S \) into the equation: \[ T = (4 \times \$1.75) + (4 \times \$7.50) + \$7 \] Now, we can calculate the total cost of the lunch. Calculate the value by following steps: - step0: Calculate: \(\left(4\times 1.75\right)+\left(4\times 7.5\right)+7\) - step1: Multiply the numbers: \(7+\left(4\times 7.5\right)+7\) - step2: Multiply the numbers: \(7+30+7\) - step3: Add the numbers: \(44\)