Y=aSin(x) + bCos(x) Max value y=4
Curve passes through (pi/3, 2 √3)

I have got

2√3 =a(√3/2) + b(1/2)

How do I use the fact the max y value is 4 to get another equation?

What is the best way to answer questions with a x expression in the question. for example 3x + 10x=?

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Atotal of 766 tickets were sold for the school play. they were either adult tickets or student tickets. there were 66 more student tickets sold than adult tickets. how many adult tickets were sold?