Answer:
There are 22 pounds of pecans in the mixture
Step-by-step explanation:
Let the number of pounds of pecans be p and the number of cashews be c
We have 88 pounds in total, mathematically, this means;
c + p = 88
Now, the 88 mixtures cost $1.4 per pounds. This means the total amount of the 88 would be 88 * 1.26= $110.88
The pecans are worth 0.84 per pound while the cashews are worth 1.4 per pound. If the total is at a cost of 110.88, this can be translated mathematically as:
0.84p + 1.4c = 110.88
We now have two different equations that we can solve simultaneously.
c + p = 88
0.84p + 1.4c = 110.88
From the first equation, we can say c = 88 - p
We can then substitute the into the second equation:
0.84p + 1.4(88 - p) = 110.88
0.84p + 123.2 - 1.4p = 110.88
-0.56p = 110.88 - 123.2
0.56p = 12.32
p = 12.32/0.56 = 22
Now, we know c = 88 - p = 88 - 22 = 66
