exam Maths Puzzle Numerical Ability

What amount of each mixture, one 95% alcohol and the other 15% alcohol, must be used to make 10 liters of a mixture which is 45% alcohol? what equation or equations will express this problem? I was thinking it would be this equation: 0.95x+0.15x=0.45

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exam Other Question

Can someone, please, show why is this equation true:


{{{sum((matrix (2, 1, n+i, i)), i=0, k) = (matrix (2, 1, n+k+1, k))}}}


Thanks!
Please explain why the number 1 cannot be the base of a logarithmic function. Thank you.