Problema Solution
Imani and Beth are selling fruit for a school fundraiser. Customers can buy small boxes of grapefruit and large boxes of grapefruit. Imani sold 11 small boxes and 5 large boxes of grapefruit for a total of $298. Beth sold 9 small boxes of grapefruit and 2 large boxes of grapefruit for a total of $202. Find the cost of one small box of grapefruit and one large box of grapefruit.
Answer provided by our tutors
let
s = the cost of one small box of grapefruit
l = the cost of one large box of grapefruit
Imani sold 11 small boxes and 5 large boxes of grapefruit for a total of $298
11s + 5l = 298
Beth sold 9 small boxes of grapefruit and 2 large boxes of grapefruit for a total of $202
9s + 2l = 202
by solving the system of equations
11s + 5l = 298
9s + 2l = 202
we find
l = $20
s = $18
click here to see the step by step solution of the system of equations
the cost of one small box of grapefruit is $18.
the cost of one large box of grapefruit is $20.