Answer:
The pecans used in the mixture = 8 kg
The almonds used in the mixture = 17 kg
Step-by-step explanation:
The cost of per kg of pecans = $28.50
The cost of per kg of almonds = $22.25
Now, total weight of mixture = 25 kg
Let us assume the weight of pecans in the mixture = m kg
So, the amount of almonds in the mixture = Total weight - Weight of Pecans
= (25 - m) kg
Now, cost of m kg pecans = m x ( cost of 1 kg pecans) = m x ( $ 28.50)
= 28.50 m
cost of (25- m) kg almonds = (25 -m) x ( cost of 1 kg almonds)
= (25 - m) x ( $ 22.25)
= 556.25 - 22.25 m
Total cost of 25 kg of mixture = 25 x ( $24.25) = $606.25
Now, Total Cost of (almonds + Pecans) = Total cost of mixture
⇒28.50 m + 556.25 - 22.25 m = $606.25
or,6.25 m = 50
or, m = 50/6.25 = 8
Hence, the pecans used in the mixture = m = 8 kg
And the almonds used in the mixture = (25 - m) = 25 - 8 = 17 kg
