SOLUTION: A tea merchant mixes some black tea costing $40 per pound with 3 lb of Earl Grey tea costing $50 per pound. How many pounds of the black tea should be used if the merchant wants a
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Question 898715: A tea merchant mixes some black tea costing $40 per pound with 3 lb of Earl Grey tea costing $50 per pound. How many pounds of the black tea should be used if the merchant wants a blend that costs between $43 and $46 per pound?
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
x = pounds of black tea
Lower bound:
43 < (40x + (50)(3))/(x + 3)
43(x + 3) < 40x + 150
43x + 129 < 40x + 150
3x < 21
x < 7
Upper bound:
(40x + 150)/(x + 3) < 46
40x + 150 < 46x + 138
-6x < -12
x > 2
The merchant can use anywhere between 3 and 6 pounds of tea, inclusive.
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