Delaney would like to make a 10 lb nut mixture that is 60% peanuts and 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 solution?
(b) which of the following is a solution to the system: 4 lb peanuts and 6 lb mixture; 5 lb peanuts and 5 lb mixture; 8 lb peanuts and 2 lb mixture? show your work.

If there is "p" pounds of peanuts and "m" pounds of '20% peanuts and 80% almonds' mixture, then, we can get the following equations,

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

whose solution is 5 lb peanuts and 5 lb mixture.

Step-by-step explanation:

In the mixture which Delaney wants to make there would be

lb

= 6 lb of peanuts

So, 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 according to the question,

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

So, from (2),

m = 5 --------------(3)

So, from (1) and (3) ,

p = (10 - 5) = 5  

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step-by-step explanation:

a: 1/6, j: 1/4

step-by-step explanation: you are welcome