There was a sidewalk sale at Mega Mall. Everything was marked down by30%. Rodrick bought 3 pairs of jeans originally priced at $29.95 each,a shirt originally priced at $18.50 and a pair of sandals originally priced at $32.29. The sales tax in Roderick's state is 7.25%. How much was Roderick's total?
0.7[(3 * 29.95) + 18.50 + 32.29] = x
1.075x = total
To find out how much Roderick's total is, we need to calculate the discounted price of each item using the 30% discount, then add the sales tax to the total.
Let's start by calculating the discounted price of each item.
The original price of 3 pairs of jeans is $29.95 each, so the total cost of the jeans before the discount is:
3 * $29.95 = $89.85
To apply the 30% discount, we multiply the total cost of the jeans by (100% - 30%):
$89.85 * (1 - 0.30) = $89.85 * 0.70 = $62.90
Next, we'll calculate the discounted price of the shirt:
Original price of the shirt = $18.50
Discounted price of the shirt = $18.50 * (1 - 0.30) = $18.50 * 0.70 = $12.95
Lastly, let's calculate the discounted price of the sandals:
Original price of the sandals = $32.29
Discounted price of the sandals = $32.29 * (1 - 0.30) = $32.29 * 0.70 = $22.60
Now that we have the discounted prices of each item, let's calculate the subtotal:
Subtotal = cost of jeans + cost of shirt + cost of sandals
Subtotal = $62.90 + $12.95 + $22.60 = $98.45
To calculate the sales tax, we multiply the subtotal by the sales tax rate:
Sales tax = subtotal * 0.0725 = $98.45 * 0.0725 = $7.14 (rounded to two decimal places)
Finally, we can find the total by adding the subtotal and the sales tax:
Total = subtotal + sales tax = $98.45 + $7.14 = $105.59
Therefore, Roderick's total is $105.59.