book Maths Puzzle Numerical Ability

How many gallons of a 20% juice drink should you mix with 10 gallons of 60% juice drink to obtain a 30% juice drink?

I don't have my work paper here. I came up with 10 gallons.

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book Other Question

If a system of nonlinear equations contains one equation whose graph is a circle and another equation whose graph is a line, can the system have exactly one solution? If so, describe the graph of this situation... 9x^2=64
9x^2=squre rt of 64
9x^2=8

I am stuck after this