According to the Bureau of Labor and Statistics, in 2015 “Average expenditures per consumer unit for 2015 were $55,978,” where “consumer units include families, single persons living alone or sharing a household with others but who are financially independent, or two or more persons living together who share expenses.” The average American lives on $ per day” is a common type of statistic used (not just about Americans either). Using the information above, determine a reasonable amount that could represent in this statistic. Be sure to explain your reasoning

15 units use socratic

step-by-step explanation: 15 units

delaney would like to make a 5lb 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.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)