Problema Solution
If 30 lb of rice and 30 lb of potatoes cost $30.60, and 20 lb of rice and 12 lb of potatoes cost $17.04, how much will 10 lb of rice and 50 lb of potatoes cost?
Answer provided by our tutors
let
r = the cost of 10 lb of rice
p = the cost of 50 lb of potatoes
30 lb of rice and 30 lb of potatoes cost $30.60
3r + (3/5)p = 30.60
20 lb of rice and 12 lb of potatoes cost $17.04
2r + (12/50)p = 17.04
2r + (6/25)p = 17.04
by solving the system of equations
3r + (3/5)p = 30.60
2r + (6/25)p = 17.04
we find
r = $6
p = $21
click here to see the step by step solution of the system of equations
10 lb of rice cost $6.
50 lb of potatoes cost $21.