Question 1 · Algebra in real-world applications
A concert ticket for adults costs $r. A student ticket costs $6 less than an adult ticket. (a) Write the student ticket price in terms of r. (b) Mr Tan and his wife brought their three children to the concert. Write an expression, in terms of r, for the total cost that Mr Tan had to pay in dollars. (c) If r = 35, find the total cost that Mr Tan had to pay.
Step 1. Name what you know in terms of r first: an adult ticket is r, so a student ticket is r − 6. Then count the tickets: 2 adults and 3 students.
Step 2. Add the tickets, collect the like terms, then substitute r = 35.
(a) Student ticket = $(r − 6)
(b) Total = 2r + 3(r − 6) = 2r + 3r − 18
Total = $(5r − 18)
(c) When r = 35: 5(35) − 18 = 175 − 18
Total = $157
Ans = (a) $(r − 6) (b) $(5r − 18) (c) $157


