book Maths Puzzle Numerical Ability

[1,1] [0,3]
2x+y=3

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book Other Question

Use parabolas to work the following problem: find two numbers having a sum of 50 such that the sum of the square of one and three times the square of the other is a minimum. Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold?