To find out the total cost that Shardell and Marshall need to split, we first need to calculate the total bill including tax. Here are the steps:
-
Calculate the total costs before tax:
- Catering: $325
- Venue: $250
- DJ: $375
Total costs before tax: \[ 325 + 250 + 375 = 950 \text{ dollars} \]
-
Calculate the state tax: The state tax rate is 9%. To find the tax amount: \[ \text{Tax} = 950 \times 0.09 = 85.5 \text{ dollars} \]
-
Calculate the total cost including tax: \[ \text{Total cost} = 950 + 85.5 = 1035.5 \text{ dollars} \]
-
Calculate each person's share: Since Shardell and Marshall are splitting the total cost in half, we divide the total cost by 2: \[ \text{Share per person} = \frac{1035.5}{2} = 517.75 \text{ dollars} \]
Thus, each person's portion of the cost will be $517.75.