Question

353 people attend a local play at a private club. Members get tickets for $2.75, while non-members have to pay $6.50. If the total gate for the play came to $1762, how many members and non-members came to the play?

Answer 1

Total People = 353
Member = $2.75
Non Member = $6.50
Total collected = $1762

Assumed all the 353 people are members:
Total collected = 2.75 x 353 = $970.75

Difference in total = 1762 - 970.75 = $791.25

Difference in member and non member price:
6.50 - 2.75 = $3.75

Total number of non member's tickets = 791.25 ÷ 3.75 = 211

Number of member's tickets = 353 - 211 = 142

There are 142 members and 211 non-members.

Check:

142 x 2.75 = $390.50
211 x 6.50 = $1371.50
Total = $390.50 + $1371.50 = $1762