Dear user,
3 × 8000283743729 = 2.4000851
The solution to the problem is as follows:
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the genaral term is 5Cr(-1)^r 2^r x^(5-2r)
and so need 5-2r = -1 => r = 3
Coeff is then 5C3 (-1)^3 2^3 = -80
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This sets up as a very commonly used proportion.
90 oz / 18.95 = 1 oz / x Cross multiply
90 x = 18.95 Divide by 90
x = 18.95 / 90
x = 0.21 dollars or 21 cents.
So each ounce of shampoo costs 0.21 dollars or 21 cents.
This is a very handy way to check best deals. Stores have trained us for years to believe that the more we buy of a brand, the better the price. It isn't always true. Sometimes buying the smaller quantity is the better deal. There is only one way to be sure and that's to do a proportion like this one.
Try this is an example. The same company makes a smaller container of shampoo of 45 oz for 9.15. How much is 1 oz and which is the better deal? You should get 0.20333 dollars so this is marginally (just) the better deal.
