Posted by **Peter** on Wednesday, October 5, 2011 at 12:29am.

At a county fair, adults' tickets sold for $5.50, senior citizens' tickets for $4.00, and children's tickets for $1.50. On the opening day, the number of children's and senior's tickets sold was 30 more than half of the number of adults' tickets sold. the number senior citizens' tickets sold was 5 more than four times the number of children's tickets. How many of each type of ticket were sold if the total receipts from the ticket sales were $14, 970?

- Algebra 2 -
**Steve**, Wednesday, October 5, 2011 at 10:11am
let a = no. adult tickets

let s = no. senior tickets

let c = no. child tickets

c + s = 30 + 1/2 a

s = 5 + 4c

5.5a + 4s + 1.5c = 14970

I'll leave the solution to you. Substitution, Gaussian elimination, determinants, whatever.

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