Answer:
{a}p + 0.2m = 3
0.8m = 2
or 5p + m = 15
2m = 5
{b} 2.5 lb peanuts and 2.5 lb mixture
Step-by-step explanation:
m1 → desired mixture with composition : 60% peanuts and 40% almonds and weight : 5 lb
⇒weight of peanuts in m1 = 60% × 5 = 3 lb
and weight of almonds in m1 is 2 lb
m2 → mixture with composition : 20% peanuts and 80% almonds and weight : m pounds
⇒weight of peanuts in m2 = 0.2m
and weight of almonds in m2 = 0.8m
p → weight (in pounds) of peanuts added to m2 to make m1
{a}
add p pounds of peanuts to m2 to make m1
equating weights of peanuts and almonds:
p + 0.2m = 3
0.8m = 2
{b}
[tex]2^{nd}[/tex] equation gives m = [tex]\frac{2}{0.8}[/tex] ⇒ m = 2.5 lb
Using this in the [tex]1^{st}[/tex] equation:
p + 0.5 = 3 ⇒ p = 2.5 lb
