The number of grams a woman should eat in a day to maintain her weight is proportional to her weight. a woman weighing 102 pounds should eat only 34 grams
of fat in a day to maintain her weight, at this rate how many grams of fat should a woman that weighs 180 pounds eat in a day to maintain her weight
since weight is proportional to grams,
34/102 = g/180
The number of grams of fat that a woman should eat in a day to maintain her weight is proportional to her weight. A woman weighing 102 pounds should eat only 34 grams of fat in a day to maintain her weight.
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At this rate, how many grams of fat should a woman that weighs 180 pounds eat in a day to maintain her weight?
54 grams
58 grams
60 grams
64 grams
60
To solve this problem, we need to first find the proportionality constant between weight and the number of grams of fat a woman should eat per day to maintain her weight.
We are given that a woman weighing 102 pounds should eat 34 grams of fat in a day. Let's call this value "g". We can set up the equation:
102 pounds = k * 34 grams
To find the value of "k", we divide both sides of the equation by 34:
k = 102 pounds / 34 grams
k = 3 pounds/gram
Now we can use this proportionality constant to find the number of grams of fat a woman weighing 180 pounds should eat to maintain her weight.
Let's call the number of grams of fat she should eat "x". We can set up the equation:
180 pounds = 3 pounds/gram * x grams
To find the value of "x", we isolate it by dividing both sides of the equation by 3 pounds/gram:
x = (180 pounds) / (3 pounds/gram)
x = 60 grams
Therefore, a woman weighing 180 pounds should eat 60 grams of fat in a day to maintain her weight.