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?(
The total cost of the catering, venue, and DJ is $325 + $250 + $375 = $<<325+250+375=950>>950.
The state tax will add an additional 9/100 * $950 = $<<9/100*950=85.5>>85.5 to the total bill.
The total cost for Shardell's portion will be $950 + $85.5 = $<<950+85.5=1035.5>>1035.5.
Shardell's portion will cost $1035.5/2 = $<<1035.5/2=517.75>>517.75. Answer: \boxed{517.75}.
To find Shardell's portion of the cost, we need to add up the total expenses and then divide it by 2 since they agreed to split the cost equally.
Step 1: Calculate the total cost of all the expenses.
Total cost = Catering bill + Venue bill + DJ cost
Total cost = $325 + $250 + $375
Total cost = $950
Step 2: Calculate the total cost including taxes.
Total cost including taxes = Total cost + Tax amount
Tax amount = (Total cost * Tax rate)
Tax amount = ($950 * 9%)
Tax amount = $85.50
Total cost including taxes = $950 + $85.50
Total cost including taxes = $1035.50
Step 3: Calculate Shardell's portion of the cost.
Shardell's portion = Total cost including taxes / 2
Shardell's portion = $1035.50 / 2
Shardell's portion = $517.75
Therefore, Shardell's portion of the cost will be $517.75.
To find Shardell's portion of the total cost, we need to calculate the total cost of everything first and then divide it by 2 (since Shardell is splitting the cost 50/50 with Marsha).
First, let's add up the costs:
Catering bill: $325
Venue bill: $250
DJ: $375
Total cost = Catering bill + Venue bill + DJ
Total cost = $325 + $250 + $375
Total cost = $950
Now, let's calculate the tax amount on the total cost. The tax rate is 9%.
Tax amount = Total cost * Tax rate
Tax amount = $950 * 0.09
Tax amount = $85.50
Finally, let's calculate Shardell's portion of the total cost (excluding tax), which is half of the total cost:
Shardell's portion = Total cost / 2
Shardell's portion = $950 / 2
Shardell's portion = $475
However, we also need to include the tax amount in Shardell's portion:
Shardell's portion (including tax) = Shardell's portion + Tax amount
Shardell's portion (including tax) = $475 + $85.50
Shardell's portion (including tax) = $560.50
Therefore, Shardell's portion of the cost, including tax, will be $560.50.