Problema Solution
To build the garden of your dreams you need 10ft^3 of soil containing 17% clay. You have two types of soil you can combine to achieve this: soil with 35% clay and soil with 10% clay. How much of each soil should you use?
Answer provided by our tutors
let
x = ft^3 of soil with 35% clay
y = ft^3 of soil with 10% clay
to build the garden of your dreams you need 10ft^3 of soil containing 17% clay
x + y = 10
35% of clay in x + 10% clay in y = 17% clay in 10 ft^3
0.35*x + 0.10*y = 0.17*10
by solving the system of equation
x + y = 10
0.35*x + 0.10*y = 0.17*10
we find
x = 2.8 ft^3 of the soil with 35% clay
y = 7.2 ft^3 of the soil with 10% clay
click here to see the step by step solution of the system of equations