Harrell 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 and the venue bill is $250 and the dj is $375 if state tax is 9% what will Shardell’s portion cost?
The total cost for the catering bill and the venue bill is $325 + $250 = $<<325+250=575>>575.
The total cost for everything, including the DJ, is $575 + $375 = $<<575+375=950>>950.
The state tax is $950 * 9/100 = $<<950*9/100=85.50>>85.50.
Without the state tax, Shardell’s portion is $950 / 2 = $<<950/2=475>>475.
Including the state tax, Shardell’s portion is $475 + $85.50 = $<<475+85.50=560.50>>560.50. Answer: \boxed{560.50}.
To calculate Shardell's portion of the cost, we need to determine the total cost of all expenses, including the tax.
First, let's calculate the total cost of the catering, venue, and DJ bills:
Catering bill = $325
Venue bill = $250
DJ bill = $375
Total expense = Catering bill + Venue bill + DJ bill
= $325 + $250 + $375
= $950
Next, let's calculate the tax amount on the total expense:
Tax amount = Total expense * Tax rate
= $950 * 0.09
= $85.50
Finally, let's calculate Shardell's portion of the cost by splitting the total expense and tax evenly between Harrell and Shardell:
Shardell's portion = (Total expense + Tax amount) / 2
= ($950 + $85.50) / 2
= $1035.50 / 2
= $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 add up the cost of catering, venue, and DJ, and then calculate 9% tax on that total. Finally, we can split the final amount in half, as both Harrell and Marsha agreed to split the cost.
First, let's calculate the total cost of catering, venue, and DJ by adding them together:
Total cost = Catering bill + Venue bill + DJ bill
Total cost = $325 + $250 + $375
Total cost = $950
Next, let's calculate the 9% tax on the total cost:
Tax amount = 9% × Total cost
Tax amount = 9% × $950
Tax amount = $85.50
Now, let's add the tax amount to the total cost to find the total amount including tax:
Total amount including tax = Total cost + Tax amount
Total amount including tax = $950 + $85.50
Total amount including tax = $1035.50
Finally, let's split the total amount including tax in half to find Shardell's portion:
Shardell's portion = (Total amount including tax) / 2
Shardell's portion = $1035.50 / 2
Shardell's portion = $517.75
Therefore, Shardell's portion of the total cost, including tax, will be $517.75.