SOLUTION: Sarah Meeham blends coffee for​ Tasti-Delight. She needs to prepare 130 pounds of blended coffee beans selling for ​$4.98 per pound. She plans to do this by blending

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Question 1128546: Sarah Meeham blends coffee for​ Tasti-Delight. She needs to prepare 130 pounds of blended coffee beans selling for ​$4.98 per pound. She plans to do this by blending together a​ high-quality bean costing ​$5.50 per pound and a cheaper bean at ​$3.25 per pound. To the nearest​ pound, find how much​ high-quality coffee bean and how much cheaper coffee bean she should blend?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Sarah Meeham blends coffee for​ Tasti-Delight. She needs to prepare M pounds of blended coffee beans selling for ​$T per pound. She plans to do this by blending together a​ high-quality bean costing ​$H per pound and a cheaper bean at ​$L per pound.
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x, pounds at the higher price ingredient
M-x, pounds of the lower price ingredient

highlight_green%28Hx%2BL%28M-x%29=TM%29
-
Hx%2BLM-Lx=TM
Hx-Lx=TM-LM
%28H-L%29x=TM-LM
highlight_green%28x=%28TM-LM%29%2F%28H-L%29%29


Substitute for whatever given values of T, H, L, M you have.