Problema Solution
James sold subscriptions with three prices: $27, $11, and $12. He sold 1 fewer of the $27 subscriptions than of the $11 subscriptions and sold a total of 42 subscriptions. If his total sales amounted to $685, how many $12 subscriptions did James sell?
Answer provided by our tutors
let
x = the number of the $27 subscriptions
y = the number of the $11 subscriptions
z = the number of the $12 subscriptions
he sold 1 fewer of the $27 subscriptions than of the $11 subscriptions
x = y - 1
he sold a total of 42 subscriptions
x + y + z = 42
his total sales amounted to $685
27x + 11y + 12z = 685
by solving the system of equations
x = y - 1
x + y + z = 42
27x + 11y + 12z = 685
we find
z = 15 of the 12$ subscriptions
click here to see the step by step solution of the system of equations
James sold 15 of the 12$ subscriptions.