Problema Solution
Red Beads cost $1.30 per box, they are mixed with yellow beads that cost $2.00 a box. How many boxes of each color must be used to make 10 boxes of beads costing $1.72 per box?
Answer provided by our tutors
let
x = the number of red boxes
y = the number of yellow boxes
the number of red boxes + number of yellow boxes = total number of boxes
x + y =10
the cost of all red boxes + the cost of all yellow boxes = the cost of 10 boxes by the price of $1.72 per box
1.30*x + 2.00*y = 1.72 * 10
by solving the system of equations
x + y =10
1.30*x + 2.00*y = 1.72 * 10
we find
x = 4 red boxes
y = 6 yellow boxes
we must use 4 red boxes and 6 yellow boxes.