summergirl7987
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Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
(a) What is the system that models this situation?

(b) How many pounds of peanuts and how many pounds of the 80% almond-20% peanut mixture will she need?



Answer :

Ananda26
We need to change that 80% of almond into 40%, by adding more peanuts. To do this, we must add the same weight of peanuts as there is in the 80-20 mixture, to halve the ratio of almonds.
Therefore, p=m
Because the total mixture is 5 lbs, and the 80-20 and peanut mixture are the same weight, we know that p=m=2.5 lbs

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