# Question #bf080

##### 3 Answers

Nickel content solution: you may not have seen this approach before.

The added pure nickel is

#### Explanation:

Let the amount of added nickel as a percentage be

Let the final blend mass be

The gradient of part is the same as the gradient of the whole.

Turn it all upside down:

Thus

Thus the added pure nickel is

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check:

The nickel in each is the same so the answer is correct

Grain question

#### Explanation:

Gradient for part is the same as the gradient for the whole.

Turn up the other way

Thus the blend has

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Total batch weight is to be 150 bushels

Alternative method for the corn/silage question

The amount of corn is 50 bushels

Thus the amount of silage is 100 bushels

#### Explanation:

Let the amount of corn be

Target cost $3.00

Silage cost $2.60

Corn cost $3.80

As we have

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So the amount of corn is

Thus the amount of silage is

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~