Asked by Mary
Pecans sells for $3.50 a pound. Almonds sells for $5 pound. How many pounds of each should be used to make 15 pounds of mixture that sells for $4 a pound?
Answers
Answered by
Mary
c+e=5
$3.50c+15e=5(4)
$3.50c+15e=5(4)
Answered by
bobpursley
this is a mixture problem
Let P be the pounds of Pecans
and A be the pounds of almonds.
P+A=15 (given)
now, the cost: 3.5*P is the cost of pecans, and 5*A is the cost of almonds, then the sum of costs equals total cost.
3.5P+5A=4*15
So now, you know A=15-P so
3.5P+5(15-P)=4*15 and you solve for P, pounds of Pecans. Then go back and solve for A, since A=15-P
Let P be the pounds of Pecans
and A be the pounds of almonds.
P+A=15 (given)
now, the cost: 3.5*P is the cost of pecans, and 5*A is the cost of almonds, then the sum of costs equals total cost.
3.5P+5A=4*15
So now, you know A=15-P so
3.5P+5(15-P)=4*15 and you solve for P, pounds of Pecans. Then go back and solve for A, since A=15-P
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