Shardell and Marsha are planning a party. Since they are both hosting, they have agreed to split the cost for everything in half. The catering bill is $325, the venue bill is $250, and the DJ is $375. If state tax is 9%, what will Shardell’s portion cost?(1 point)
To calculate Shardell's portion of the total cost, we need to add up the costs of the catering, venue, and DJ, and then split that total in half.
We start by adding up the costs:
Catering bill: $325
Venue bill: $250
DJ cost: $375
Total cost: $325 + $250 + $375 = $950
Next, we apply the 9% state tax to the total cost:
State tax: 9% of $950 = 0.09 * $950 = $85.50
Now, we add the tax to the total cost to get the final cost:
Final cost: $950 + $85.50 = $1035.50
Finally, we split the final cost in half to find Shardell's portion:
Shardell's portion = $1035.50 / 2 = $517.75
Therefore, Shardell's portion of the total cost for the party will be $517.75.
The total cost for the catering, venue, and DJ is $325 + $250 + $375 = $<<325+250+375=950>>950.
Assuming the tax is applied to the total cost, the tax amount is $950 * 9% = $<<950*9*.01=85.50>>85.50.
Thus, Shardell’s portion will cost $950 + $85.50 = $<<950+85.50=1035.50>>1035.50. Answer: \boxed{1035.50}.
To calculate the cost of Shardell's portion, we need to find the total cost of everything first. Then we will divide it by 2 since Shardell and Marsha agreed to split the cost evenly.
1. Calculate the total bill:
Total bill = Catering bill + Venue bill + DJ bill
Total bill = $325 + $250 + $375
Total bill = $950
2. Calculate the state tax:
State tax = Total bill * 9%
State tax = $950 * 0.09
State tax = $85.50
3. Calculate the total cost with tax:
Total cost with tax = Total bill + State tax
Total cost with tax = $950 + $85.50
Total cost with tax = $1035.50
4. Calculate Shardell's portion:
Shardell's portion = Total cost with tax / 2
Shardell's portion = $1035.50 / 2
Shardell's portion = $517.75
Therefore, Shardell's portion will cost $517.75.