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kifflom [539]
3 years ago
10

A drama club earns $1400 from a production it sells a total of 64 tickets adult tickets and 132 student tickets in adult ticket

cost twice as much as a student ticket
Mathematics
1 answer:
Ket [755]3 years ago
5 0

Answer: an adult ticket cost $8 and a student ticket cost $4

Step-by-step explanation:

Let x represent the cost of one student ticket.

Let y represent the cost of one adult ticket.

A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. It means that

132x + 64y = 1040 - - - - - - - - - -1

An adult ticket costs twice as much as a student ticket. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

132x + 64 × 2x = 1040

132x + 128x = 1040

260x = 1040

x = 1040/260 = 4

y = 2x = 2 × 4

y = 8

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