Question

An is planning a birthday party for her younger sister at a skating rink. the cost of admission is $3.50 per adult and $2.25 per child., and there is a limit of 20 people. jan has $50 to spend. how many adults and how many children can jan invite?

Answer 1

let x be the number of adults
let y be the number of child

3.5 x + 2.25 y = 50

x+ y =20 y = 20 - x

3.5 (20-y ) + 2.25 y = 50

70 - 3.5 y +2.25y =50

70 -1.25 y = 50

y = 16

and x = 4