Ollie and Angela are ticket-sellers at their class play

Question

Ollie and Angela are ticket-sellers at their class play, Ollie handling student tickets that sell for $6.80 each and Angela selling adult tickets for $11.40 each. If their total income for 114 tickets was $1138.60, how many did Ollie sell?

Answer 1

You have:

Parents: p

Students: s

Parent Price: $11.40

Student Price: $6.80

Total attendies: 114

Total Sales: $1138.60

 

So there are 2 equations we can make to solve for the two unknowns:

p + s = 114

$11.40p + $6.80s = $1138.60

 

From this we get

p = 114-s

And so

$11.40(114-s) + $6.80s = $1138.60

 

$1299.6 - $11.4s + $6.80s = $1138.60

$4.60s = $161

s = 35

p=114-s = 79

 

Sanity Check: They are both whole numbers, so we don't need to saw anyone up:)

and

$11.40*79 + $6.80*35 = $1138.60

$1138.60 = $1138.60

 

so it works!

Mark