Problema Solution
Don runs a charity fruit sale, selling boxes of oranges for $11 and boxes of grapefruit for $10. If he sold a total of 762 boxes and his total income was $8125, how many boxes of oranges did he sell?
Answer provided by our tutors
let
x = the number of boxes of oranges
y = the number of boxes of grapefruit
he sold total of 762 boxes thus
x + y = 762
income from selling x boxes of oranges + the income from y boxes of grapefruit = total income
11*x + 10*y = 8125
by solving the system of equations
x + y = 762
11*x + 10*y = 8125
we find
x = 505 boxes of oranges
y = 257 boxes of grapefruit
Don sold 505 boxes of oranges.