Tickets for a dance are sold for $5 to seniors and $7 to juniors. the dance hall can hold 560 students. how many of each type of ticket must be sold to raise at least $3500? choose the system of inequalities that models this situation.

we can define the variables:

x =  number of senior tickets sold

y = number of junior tickets sold.

Then with the given information we can write:

x + y = 560

x*$5 + y*$7 = $3500

This is the system of equations that models this situation.

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Step-by-step explanation:

Let x be number of seniors and y be number of juniors going to attend dance.

The dance hall can hold 560 students. We can represent this information as:

We have been given that tickets for the dance are sold for $5 to seniors and $7 to juniors. So the amount raised after selling tickets to seniors will be 5x and the amount raised after selling tickets to juniors will be 7y.

We need to raise at least $3500 by selling both types of tickets.

We can represent this information as:

Therefore, our desired system of inequalities will be:

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step-by-step explanation: