Question 481111: 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?
Answer:
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:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! cost per pound of chemical is equal to 95/200 = .475
sales tax is 6% of total order.
shipping is $30 per order.
a.
she buys 4000 pounds of chemicals in one order.
the cost of the chemicals is .475 * 4000 = 1900.
the cost of the shipping is 30.00
the total cost of the order is 1930.
the tax on the order is .06 * 1930 = 115.8
the total cost of the order plus tax is 1930 + 115.8 = 2045.8
b.
she needs y vats.
the total cost of y vats would be 400*y
the shipping is 30 dollars so the total cost plus shipping is 400*y + 30
the tax is 6% of the total cost of the order plus shipping so her total cost is 1.06 * (400*y + 30).
assume she buys 10 vats.
the cost for the vats would be 400*10 = 4000
the shipping would be 30
the total cost with shipping would be 4030
the tax would be .06 * 4030 = 241.8
the total cost of the order with tax would be 4030 + 241.8 = 4271.8.
the equation of 1.06*(400*y+30) would result in:
1.06*(4030) which would result in:
4271.8
the equation looks good.
your answer is the equation would be:
total cost of the order = 1.l06*(400*y+30).
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