exam Maths Puzzle Numerical Ability

Adult tickets for a play cost $10 and child tickets cost $4. If there were 30 people at a performance and the theater collected $234 from ticket sales, how many adults and how many children attended the play?

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cpuld someone check this for me.Thanks in advance for your help.

solve the equation by completing the square

x^2+8x-13=0 i got x=-4+sqrt 29,-4- sqrt 29 what is the algebra statement for Three times the sum of a number and seven yields the same result as the twice the same number decreased by four.