Shawna's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 10 senior citizen tickets and 13 child tickets for a total of $87.60. The school took in $63.40 on the second day by selling 11 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.​

step-by-step explanation:

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answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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step-by-step explanation: