rxs0005 wrote:

Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 7.5% sugar. What percentage of the gallon is dye?

(A) 6

(B) 6.5

(C) 7.5

(D) 8

(E) 24

Here, let's say that the gallon is 100 litres.

Then sugar in the gallon will be 7.5 litres

Now 5/9x=7.5

'x' is the amoung of the mix poured into gallon

x = (9)(1.5)

Now dye will be 9(1.5)*(4/9)=1.5*4=6

Hence A

Even if you don't find the way to solve it you can straight eliminate answers C,D,E cause the amount of dye is always going to be less given the

4:5 ratio

Hope it helps

Cheers!

J