A 30% solution of barium chloride is mixed with 10 grams of water to form a 20% solution. How many grams of original solution did we start with ?

A) 10
B) 15
C) 20
D) 25
E) 30

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

A. y + 3z
B. (y+z)/4
C. 2y + 3z
D. 3y + z
E. 3y + 4.5z

A vessel is filled with a liquid in which 5 parts are milk and 3 parts are water. What fraction of mixture must be drawn off are replaced with water. So that the mixture may be half water and half milk.

a) 1/2
b) 1/3
c) 2/3
d) 1/5
e) 1/8

Miguel is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?

a) 15/29
b) 5/8
c) 5/16
d) 1/2
e) 13/27