(1)) Chris and Emily are buying nuts. Almonds cost \( a \) dollars per pound, and cashews cost \( c \) dollars per pound. - Chris buys 1.6 pounds of almonds and 2.8 pounds of cashews. - Emily buys 0.7 pound of almonds and 1.5 pounds of cashews.

To solve the problem, we need to determine the total cost for both Chris and Emily based on the prices of almonds and cashews. ### Known Conditions: 1. Price of almonds per pound: \( a \) 2. Price of cashews per pound: \( c \) 3. Chris's purchase: - Almonds: 1.6 pounds - Cashews: 2.8 pounds 4. Emily's purchase: - Almonds: 0.7 pounds - Cashews: 1.5 pounds ### Step-by-Step Solution: 1. **Calculate Chris's Total Cost:** - Cost of almonds for Chris: \[ \text{Cost}_{\text{almonds, Chris}} = 1.6 \times a \] - Cost of cashews for Chris: \[ \text{Cost}_{\text{cashews, Chris}} = 2.8 \times c \] - Total cost for Chris: \[ \text{Total Cost}_{\text{Chris}} = \text{Cost}_{\text{almonds, Chris}} + \text{Cost}_{\text{cashews, Chris}} = 1.6a + 2.8c \] 2. **Calculate Emily's Total Cost:** - Cost of almonds for Emily: \[ \text{Cost}_{\text{almonds, Emily}} = 0.7 \times a \] - Cost of cashews for Emily: \[ \text{Cost}_{\text{cashews, Emily}} = 1.5 \times c \] - Total cost for Emily: \[ \text{Total Cost}_{\text{Emily}} = \text{Cost}_{\text{almonds, Emily}} + \text{Cost}_{\text{cashews, Emily}} = 0.7a + 1.5c \] ### Final Expressions: - Total cost for Chris: \[ \text{Total Cost}_{\text{Chris}} = 1.6a + 2.8c \] - Total cost for Emily: \[ \text{Total Cost}_{\text{Emily}} = 0.7a + 1.5c \] These expressions represent the total costs for Chris and Emily based on the prices of almonds and cashews. If you need further calculations or specific values for \( a \) and \( c \), please provide those values.