-
winniethepooh
- Master | Next Rank: 500 Posts
- Posts: 370
- Joined: Sat Jun 11, 2011 8:50 pm
- Location: Arlington, MA.
- Thanked: 27 times
- Followed by:2 members
Three grades of milk: 1%, 2%, and 3% fat by volume. X gallons of 1%, Y gallons
of 2%, and Z gallons of 3% are mixed to give X + Y + Z gallons of 1.5%. What is X
in terms of Y and Z?
a. Y + 3Z
b. (Y + Z)/4
c. 2Y + 3Z
d. 3Y + Z
e. 3Y + 4Z
According to me 4 gallons of X + 1 gallon of Y + 1 gallon of Z will give:
4(1%) + 1(2%) +1(3%) = 9% Fat
% of fat / Total Number of gallons = Average % of Fat.
Therefore, 9%/6 = 1.5 % Fat
Let X = 20 , So Y = 5 and Z=5.
Substituting in answer 1 we get X = 20.
Now, Substituting in answer 4 we again get X = 20.
Any help, please!! Where did I go wrong?
of 2%, and Z gallons of 3% are mixed to give X + Y + Z gallons of 1.5%. What is X
in terms of Y and Z?
a. Y + 3Z
b. (Y + Z)/4
c. 2Y + 3Z
d. 3Y + Z
e. 3Y + 4Z
According to me 4 gallons of X + 1 gallon of Y + 1 gallon of Z will give:
4(1%) + 1(2%) +1(3%) = 9% Fat
% of fat / Total Number of gallons = Average % of Fat.
Therefore, 9%/6 = 1.5 % Fat
Let X = 20 , So Y = 5 and Z=5.
Substituting in answer 1 we get X = 20.
Now, Substituting in answer 4 we again get X = 20.
Any help, please!! Where did I go wrong?
