Colortime bakers wants to make 30 pounds of a berry mix that costs $3 per pound to use in their pancake mix. they are using blueberries that cost $2 per pound and blackberries that cost $3.50 per pound. how many pounds of blackberries should be used in this mixture?

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23 January, 08:19

Colortime bakers wants to make 30 pounds of a berry mix that costs $3 per pound to use in their pancake mix. they are using blueberries that cost $2 per pound and blackberries that cost $3.50 per pound. how many pounds of blackberries should be used in this mixture?

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Issac Mccarthy · Answer 1

We know that the total cost will be 30 lb * $3/lb = $90. We can thus set up an equation such that: 90 = 3.5*b + 2 * (30-b), where b is the weight of blackberries and 30-b represents that which is not blackberries, that is, the blueberries.

We solve the equation as:

90 = 3.5b + 60 - 2b = 1.5b + 60

30 = 1.5b

b = 20

Thus 20 lbs of blackberries (and 10 lbs of blueberries) are needed.