Problem: Coffee A normally costs 100 taka per pound, It Is mixed with coffee 8, which normally costs 70 taka per pound, to from a mixture which cost 80 taka per pound. if there are 12 pounds of the mix, how many pounds of coffee A are used in the mix?
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Correct Answer: The amount of coffee A is 4 pounds.
Explanation:
Let, the amount of coffee A is x pound
So the amount of coffee B = 12 —x pound
Cost of A = x $\times$ 100 = 100 x Tk.
Cost ot‘B =(12—x) x 70 =(12-x) 70 Tk
Cost of mixture = 12 x 80 = 960 TK
100x+(12-x)70 = 960
=> 100x + 840 – 70= 960
=> 30x = 960 – 840 = 120
x = $\frac{120}{30}$ = 4