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Sara is selling tickets to a high school festival. She sold 10 less senior tickets than junior tickets and she sold 3 times as many sophomore tickets as junior tickets (no freshman allowed). Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7. Sara raised $782. Write an equation to model the situation so that we can find the amount of tickets sold to seniors, juniors, and sophomores.

Respuesta :

Answer:

[tex]29x-30=782[/tex] where x denotes number of junior tickets.

Step-by-step explanation:

Let x denotes number of junior tickets.

Sara sold 10 less senior tickets than junior tickets.

Number of senior tickets [tex]=x-10[/tex]

Sara sold 3 times as many sophomore tickets as junior tickets.

Number of sophomore tickets [tex]=3x[/tex]

Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7.

Total amount raised by Sara [tex]=5x+3(x-10)+7(3x)=5x+3x-30+21x=29x-30[/tex]

Sara raised $782.

So,

[tex]29x-30=782[/tex]