AMC / AIME · Systems of Equations · Hard

Systems of Equations: Nineteen math- or math-dollar tickets cost math. How many are math-dollar?

Linear and nonlinear systems.

Try the problem

Nineteen 33- or 55-dollar tickets cost 7979. How many are 55-dollar?

Hint and answer

Concept to use

Nonlinear.

Hint

Eliminate variables, or use symmetric identities when they are given.

Answer

11

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