Answer:
{a}p + 0.2m = 6
0.8m = 4
or 5p + m = 30
m = 5
{b} 5 lb peanuts and 5 lb mixture
Step-by-step explanation:
m1 → desired mixture with composition : 60% peanuts and 40% almonds and weight : 10 lb
⇒weight of peanuts in m1 = 60% × 5 = 6 lb
and weight of almonds in m1 is 4 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:
<u>p + 0.2m = 6</u>
<u>0.8m = 4</u>
{b}
equation gives m = ⇒ <u>m = 5 lb</u>
Using this in the equation:
p + 1 = 6 ⇒ <u>p = 5 lb</u>