tickets for the show cost $2.00 for and $1.50 for children. How many of each were sold if a total of tickets were sold for $214

Question

Ita a word problem and I don´t know how to do. So I need help, please. 

 

Answer 1

2A + 1.5C = 214

usually this type of problem also tells you the total number of tickets.

when you have 2 unknowns, you need 2 equations. This problem has only 1 equation.

there must be more info, such as how many tickets were sold

A + C = T

then A = T-C, substitute back into the first equation to get

2(T-C) + 1.5C = 214

2T -2C + 1.5C = 214

-.5C = 214-2T

(1/2)C = 2T -214

C = 4T -428

Just know the total number of tickets sold and plug that in for T