Grades

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moneyman: Master | Next Rank: 500 Posts; Posts: 468; Joined: Sat Mar 03, 2007 10:17 pm; Thanked: 5 times

by moneyman » Sun Oct 07, 2007 5:57 am

Three grades of milk are 1%,2% and 3% fat by volume. If x gallons of the 1% grade,y gallons of the 2% grade and z gallons of the 3% grade are mixed to give x+y+z gallons of a 1.5% grade,what is x in terms of y and z??

y+3z
y+z/4
2y+3z
3y+z

Maxx

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Source: Beat The GMAT — Problem Solving | Sun Oct 07, 2007 5:57 am

samirpandeyit62: Master | Next Rank: 500 Posts; Posts: 460; Joined: Sun Mar 25, 2007 7:42 am; Thanked: 27 times

by samirpandeyit62 » Sun Oct 07, 2007 7:07 am

x gallons of 1% grade will have x/100 fat

y will have 2y/100

z will have 3z/100

so total fat in x+y+z =x+2y+3z/100

now given total fat in x+y+z = 1.5%

i.e 1.5/100 * (x+y+z)

so x+2y+3z/100 = 1.5/100 * (x+y+z)

so x =y + 3z

ans should be A

Regards
Samir

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