Question

2. 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 1

@Samus_Aran @sleepyhead314 @Secret-Ninja @iGreen

Answer 2

im not sure..... @iGreen @AriPotta

Answer 3

I've been stuck on this for a day now.

Answer 4

so i followed this explanation http://www.purplemath.com/modules/mixture.htm

and i got 2.5lbs of the 80%-20% mixture

Answer 5

here is my work

Answer 6

thank you @AriPotta !

Answer 7

\(\Large \boldsymbol{ \rlap{\color{#008AFF}{\hspace{2.5pt}n}\color{#0073FF}{\hspace{0.34pt}o} \hspace{3pt}\color{#005CFF}{p} \color{#0045FF}{\hspace{0.9pt}r} \color{#0017FF}{o} \color{#0200FF}{\hspace{1.7pt}b} \color{#3000FF}{\hspace{1.5pt}l} \color{#4700FF}{\hspace{0.4pt}e} \color{#7500FF}{\hspace{0.9pt}m} \color{#8C00FF}{\hspace{0.5pt}o}~\LARGE\color{#D100FF}{\ddot\smile}}{\hspace{1.5pt} no~p\hspace{0.3pt}r\hspace{0.4pt}o\hspace{1pt}b\hspace{1.5pt}l\hspace{0.4pt}e\hspace{0.4pt}m\hspace{0.4pt}o}}\)