Ellie would like to build the garden of her dreams. She needs 27 cubic feet of soil containing 12% clay. She has 2 types of soul
s that she can combine to achieve this: soil with 27% clay and soil with 15% clay. How much of each should she use?
1 answer:
To determine how much she should use for every type of soil, we need to set up equations. We do as follows:
Let x = amount of the soil with 27% clay
y = amount of the soil with 15% clay
We have two unknowns so we need two equations.
First equation,
x + y = 27
Second equation,
.27x + .15y = (27)(.12)
.27 + .15y = 3.24
Solving x and y,
x = -6.75
y =33.75
Since we have a value that is negative, it would be impossible to make a 12% clay soil with the given soils.
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