I befriended a very friendly wolf and he really likes me. I decided to take him home to live with me and be my hunting companion. Before I had my wolf-dog, Wolfie, I used to bring back home approximately h pounds of meat from hunting in the forest. Now that Wolfie is with me, the ratio of how much meat I brought home before I found Wolfie to after I found him is m:b. I almost always eat approximately 1/8 of the meat we bring home now. Wolfie eats about w of what I eat out of the rest of the meat that we have. We eat 3 meals a day of about the same amounts. Each pound of meat we have left over is sold to merchants for (on average) for $d. How much money do we get selling the meat we have left over daily now that I have Wolfie?
WHAT IS A GOOD ALGEBRAIC EXPRESSION FOR THIS WORD PROBLEM?
+128475 I befriended a very friendly wolf and he really likes me. I decided to take him home to live with me and be my hunting companion. Before I had my wolf-dog, Wolfie, I used to bring back home approximately h pounds of meat from hunting in the forest. Now that Wolfie is with me, the ratio of how much meat I brought home before I found Wolfie to after I found him is m:b. I almost always eat approximately 1/8 of the meat we bring home now. Wolfie eats about w of what I eat out of the rest of the meat that we have. We eat 3 meals a day of about the same amounts. Each pound of meat we have left over is sold to merchants for (on average) for $d. How much money do we get selling the meat we have left over daily now that I have Wolfie?
The amount of meat now brought home is h(b/m)lbs. = (hb/m)lbs.
The amount consumed by you is (1/8) of this =[hb/(8m)] lbs. ...so there's (7/8)(hb/m) lbs. left
And Wolfie consumes w of what you eat...and "of" means "multiply".... so he eats → w[hb/(8m)]lbs
So, the amount left over is (7/8)(hb/m) - (1/8)(w)(hb/m) = [(hb)/(8m)](7 - w)lbs
So....the amount of money you make is just what you're paid per pound times the number of lbs. left over =
$(d)[(hb)/(8m)](7 - w)
{The 3 meals per day is a "red herring" ....an irrelevant fact.....}
+118609 I quite likely made a mistake but I got
$$db\left(\frac{5-3w}{8}\right)\;\; dollars$$
+128475 I befriended a very friendly wolf and he really likes me. I decided to take him home to live with me and be my hunting companion. Before I had my wolf-dog, Wolfie, I used to bring back home approximately h pounds of meat from hunting in the forest. Now that Wolfie is with me, the ratio of how much meat I brought home before I found Wolfie to after I found him is m:b. I almost always eat approximately 1/8 of the meat we bring home now. Wolfie eats about w of what I eat out of the rest of the meat that we have. We eat 3 meals a day of about the same amounts. Each pound of meat we have left over is sold to merchants for (on average) for $d. How much money do we get selling the meat we have left over daily now that I have Wolfie?
The amount of meat now brought home is h(b/m)lbs. = (hb/m)lbs.
The amount consumed by you is (1/8) of this =[hb/(8m)] lbs. ...so there's (7/8)(hb/m) lbs. left
And Wolfie consumes w of what you eat...and "of" means "multiply".... so he eats → w[hb/(8m)]lbs
So, the amount left over is (7/8)(hb/m) - (1/8)(w)(hb/m) = [(hb)/(8m)](7 - w)lbs
So....the amount of money you make is just what you're paid per pound times the number of lbs. left over =
$(d)[(hb)/(8m)](7 - w)
{The 3 meals per day is a "red herring" ....an irrelevant fact.....}
