Problema Solution
Jasmine and Paul are selling fruit for a fundraiser. Jasmine sold 3 small boxes of oranges and 9 large boxes of oranges for a total of $162. Paul sold 9 small boxes of oranges and 11 large boxes of oranges for a total of $246. Find the cost of one small and large box of oranges.
Answer provided by our tutors
let
x = the cost of one small box of oranges
y = the cost of one large box of oranges
Jasmine sold 3 small boxes of oranges and 9 large boxes of oranges for a total of $162:
3x + 9y = 162 divide both sides by 3
x + 3y = 54
Paul sold 9 small boxes of oranges and 11 large boxes of oranges for a total of $246:
9x + 11y = 246
by solving the system of equations:
x + 3y = 54
9x + 11y = 246
we find:
x = $9
y = $15
click here to see the step by step solution of the system of equations:
the cost of one small box of oranges is $9.
the cost of one large box of oranges is $15.