book Maths Puzzle Numerical Ability

a collection of dimes and guarters is $3.55. there are 25 coins in all. how many quarters are there?

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book Other Question

x^2-3x -23=5
(x^2-3x -23-5)=0
(x^2-3x-23-5)=0
(x^2-3x-28)=0
x^2 +4x -7x-28)=0
x(x+4)+ (-7) (x+4)=0
(x-7 (x+4)=0
(x-7)=0 or (x+4)=0
x=7 or x=-4
How do I simplify this?

sqrt108