Problema Solution
SARAH MEEHAM BLENDS COFFEE FOR TASTI-DELIGHT. SHE NEEDS TO PREPARE 150 POUNDS OF BLENDED COFFEE BEANS SELLING FOR $4.70 PER POUND. SHE PLANS TO DO THIS BY BLENDING TOGETHER A HIGH-QUALITY BEAN COSTING $5.50 PER POUND AND A CHEAPER BEAN AT $2.50 PER POUND. TO THE NEAREST POUND, FIND HOW MUCH HIGH-QUALITY COFFEE BEAN AND HOW MUCH CHEAPER COFFEE BEAN SHE SHOULD BLEND.
Answer provided by our tutors
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let 'x' represent the pounds of $5.50 coffee used, then '150-x' represents the pounds of $2.50 coffee used
4.70(150) = 5.50x + 2.50(150-x)
solving for 'x' we have x=110
150-110 = 40
40 pounds of $2.50 coffee should be blended with 110 pounds of $5.50 coffee