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)
The total cost of all expenses is $325 + $250 + $375 = $<<325+250+375=950>>950
The state tax on the total cost is $950 * 9% = $<<950*9*.01=85.5>>85.5
The total cost including tax is $950 + $85.5 = $<<950+85.5=1035.5>>1035.5
Shardell's portion will be half of the total cost, which is $1035.5 / 2 = $<<1035.5/2=517.75>>517.75. Answer: \boxed{517.75}.
To find Shardell's portion of the cost, we first need to calculate the total cost of all the items: the catering bill, the venue bill, and the DJ's fee.
Total cost = Catering bill + Venue bill + DJ's fee
Given:
Catering bill = $325
Venue bill = $250
DJ's fee = $375
Total cost = $325 + $250 + $375
Total cost = $950
Now, we need to find Shardell's portion of the cost, which is half of the total cost since she is sharing the cost equally with Marsha.
Shardell's portion = (Total cost / 2)
Shardell's portion = ($950 / 2)
Shardell's portion = $475
However, we also need to consider the state tax of 9% on her portion.
Tax amount = (Shardell's portion * Tax rate)
Tax amount = ($475 * 9%)
Tax amount = ($475 * 0.09)
Tax amount = $42.75
Shardell's portion with tax = Shardell's portion + Tax amount
Shardell's portion with tax = $475 + $42.75
Shardell's portion with tax = $517.75
Therefore, Shardell's portion, including the tax, will cost $517.75.
To find Shardell's portion of the total cost, we need to add up the costs of catering, venue, and DJ, and then divide it by 2.
The total cost of catering, venue, and DJ is $325 + $250 + $375 = $<<325+250+375=950>>950.
Now, we need to calculate the tax amount on the total cost. The tax rate is 9%, so 9% of $950 is (9/100) * $950 = $<<9/100*950=85.5>>85.5.
To find Shardell's portion, we add the tax amount to the total cost and divide it by 2: ($950 + $85.5) / 2 = $<<(950+85.5)/2=517.75>>517.75.
Therefore, Shardell's portion of the total cost will be approximately $517.75.