SOLUTION: 2. LaToya Smith is a buyer for a large manufacturing company . She can purchase 200 pounds of chemicals for $95. She can also purchase mixing vats for $400 each. Sales tax on a

Question 388073: 2. LaToya Smith is a buyer for a large manufacturing company . She can purchase 200 pounds of chemicals for $95. She can also purchase mixing vats for $400 each. Sales tax on all products is 6% of the total cost of the order. Shipping costs for her order will be a flat $30.
a. At this same rate, how much would 4,000 pounds of chemicals cost?

b. This month she doesn�t know yet how many mixing vats she will need to order. Let y = number of mixing vats required. Write an equation using y that she can use to determine the total amount of her order. Assume no chemicals are ordered, only vats.

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
200 pounds of chemicals cost $95.
mixing vats = $400 each.
Sales tax on all products is 6% of the total cost of the order.
Shipping costs for the order will be a flat $30.

question a:

she orders 4000 pounds of chemicals.
cost per pound of chemical = $95.00 / 200 = .475
.475 * 4000 = $1900.00 for the chemicals.
Total cost for the order for 4000 pounds of chemicals only is as follows:

Chemicals = $1900.00
Shipping = $30.00
Total without Tax = $1930.00
Tax on $1930.00 at 6% = $115.80
Total Cost for the Order = $1930.00 + $115.80 = $2045.80

In equation form, this would be:

((.475 * 4000) + 30) * 1.06 = total cost of the order.

Tax is assumed to apply to the total order (material plus shipping).

question b:

Cost per vat = $400.00

y = number of vats to order.

Total cost of the order for vats only would be:

(y * 400 + 30) * 1.06

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