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Anna007 [38]
2 years ago
7

Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1030 was collected. First

write, then solve the equation(s) to find out how many tickets were sold in advance.
Mathematics
1 answer:
Marrrta [24]2 years ago
6 0

Answer:

170 tickets.

Step-by-step explanation:

Write formulas for the question.

N_2+N_3=400

2N_2+3N_3=1030

Then use substitution.

N_2=-N_3+400

2(-N_3+400)+3N_3=1030

-2N_3+800+3N_3=1030

N_3=230

So number of $3 tickets sold is 230. But they ask for the tickets bought in advance (i.e. the tickets sold for $2). Use substitution again.

N_2+230=400\\N_2=400-230\\N_2=170

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