rite an equation and (b) solve. Monda-in clinic received 7 more patients on Monday than on Tuesday. If the total number of patients seen on both days was 43 , how many patients were seen on Monday?

Certainly! Let's tackle the problem step by step. ### **Problem Statement:** A clinic received 7 more patients on Monday than on Tuesday. If the total number of patients seen on both days was 43, how many patients were seen on Monday? ### **a) Writing the Equation:** Let's define: - Let \( T \) represent the number of patients seen on **Tuesday**. - Therefore, the number of patients seen on **Monday** is \( T + 7 \) (since there were 7 more patients than on Tuesday). The total number of patients seen on both days is 43. So, the equation representing this situation is: \[ T + (T + 7) = 43 \] ### **b) Solving the Equation:** Now, let's solve for \( T \): 1. **Combine like terms:** \[ 2T + 7 = 43 \] 2. **Subtract 7 from both sides to isolate the terms with \( T \):** \[ 2T = 43 - 7 \] \[ 2T = 36 \] 3. **Divide both sides by 2 to solve for \( T \):** \[ T = \frac{36}{2} \] \[ T = 18 \] So, **18 patients** were seen on **Tuesday**. 4. **Find the number of patients seen on Monday:** \[ \text{Monday's patients} = T + 7 = 18 + 7 = 25 \] ### **Answer:** 25 patients were seen on Monday.