Response:
If there are "p" pounds of peanuts and "m" pounds of a mixture containing '20% peanuts and 80% almonds', then we can formulate the following equations:
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
The solution yields 5 lb peanuts and 5 lb mixture.
Detailed explanation:
In the mixture that Delaney desires to create, there will be
lb
= 6 lb of peanuts
Thus, there will be (10 - 6) lb
= 4 lb of almonds
If Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then based on the problem statement,
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
From equation (2), we derive
m = 5 --------------(3)
From (1) and (3), we find that
p = (10 - 5) = 5