Melissa's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Melissa $ 5.95 per pound, and
type B coffee costs $ 4.15 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $ 644.00 . How many pounds of type A coffee were used?
<span>B=89 lbs ANSWER: The mix contained 89 pounds of Type B coffee. CHECK: 167lbs-89lbs=78 lbs She used 78 pounds of Type A coffee. $4.35A+$5.70B=$846.60 $4.35(78)+$5.70(89)=$846.60 $339.30+$507.30=$846.60 $846.60=$846.60</span>
Start by finding the LCM of the coefficients of each polynomial:
Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term (, , and ). The largest term of is in the first polynomial, so we'll take exactly that for our term in the LCM, absolutely nothing more. Similarly, the largest term of in any of the three polynomials is (also in the first polynomial) and the largest term in any of the three polynomials is in the second polynomial. Thus, the LCM of all our polynomials is: