Problema Solution
The cost of 3 bedspreads and 6 pillows is $539.73. 2 bedspreads and 4 pillows cost $359.82. Find the cost of each bedspread and each pillow.
Answer provided by our tutors
Let
x = the cost of one bedspread, x>=0
y = the cost of one pillow, y>=0
The cost of 3 bedspreads and 6 pillows is $539.73:
3x + 6y = 539.73
2 bedspreads and 4 pillows cost $359.82:
2x + 4y = 359.82
We have the following system of equations:
3x + 6y = 539.73
2x + 4y = 359.82
........
........
The system has infinitely may solutions.
One solution is for example:
x = $100
y = (1/4)(359.82 - 2*100)
y = $39.955