SOLUTION: 1. Felix and his friend Ali are selling tickets for the rides at their school’s annual fair. a Between them they sell 80 tickets. Felix sold 12 more tickets than Ali. W

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1. Felix and his friend Ali are selling tickets for the rides at their school’s annual fair. a Between them they sell 80 tickets. Felix sold 12 more tickets than Ali. W      Log On


   



Question 1183357: 1. Felix and his friend Ali are selling tickets for the rides at their school’s annual fair.

a Between them they sell 80 tickets. Felix sold 12 more tickets than Ali.
Write an equation and solve it to find how many tickets they each sold.
b The tickets are $3 for adults and $2 for children. The 80 tickets cost a total of $168. The school wants to find out the number of adult tickets and the number of children’s tickets sold.

i Define the two unknown variables in this situation. Use the facts in the question to write a pair of simultaneous equations relating the two variables.

ii Solve this pair of simultaneous equations using elimination and then write your answer in words.

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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1. Felix and his friend Ali are selling tickets for the rides at their school’s annual fair.
a Between them they sell 80 tickets. Felix sold 12 more tickets than Ali.
Write an equation and solve it to find how many tickets they each sold.
b The tickets are $3 for adults and $2 for children. The 80 tickets cost a total of $168.
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(a)

Felix sold y+12 tickets and Ali sold y tickets.

y%2B12%2By=80
2y=80-12=68
y=34
Felix sold 46 tickets and Ali sold 34 tickets.

(b)

If A adult tickets then 80-A children tickets.
3A%2B2%2880-A%29=168
and you should be able to continue and finish.