Question

At the movies, children's tickets are $6 each and adult's tickets are $10 each.

Shandra buys 14 tickets. Let a be the number of adults going to the movies. Write
an algebraic expression to represent the total price Shandra pays.

Answer 1

a + c = 14

14(Pa+Pc) = 10a + 6c

224 = 10a + 6c

Explanation:

Price of Children's tickets = $6

Price of Adult's tickets = $10

Shandra buys 14 tickets

Let

Number of adults going to the movie = a

Number of children going to the movie = c

Total price shandra pays = PaQa + PcQc

Where,

Pa = price of adult's tickets

Qa = Quantity of adult's tickets

Pc = Price of children's tickets

Qc = Quantity of children's tickets

Total price = 14(Pa+Pc), that is

a + c = 14

14(Pa+Pc) = 10a + 6c

14(10 + 6) = 10a + 6c

140 + 84 = 10a + 6c

224 = 10a + 6c