# Question #557ac

##### 2 Answers

#### Explanation:

There are several ways of approaching this problem. I tend to use a method related to a straight line graph equation but just using the gradient. This turns out to be ratios.

Let rice type 1 be

Let rice type 2 be

Let the final weight be

The target blend will cost P35.00

If the mix were to be all

If the mix were to be all

If we have all

If we have no

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Using the above information and plot the content of only

Using ratio

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

But we are told that the quantity of

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Thus the weight of

The two types of rice should be mixed in the ratio of

#### Explanation:

We are only concerned with the price per Kilo, not an actual number of Kilograms.

Let's consider a whole kilo, split into two parts:

Whatever part is the first rice,

Let the amount of

Then the amount of

The cost of

The cost of

Together the value of the mixture is

The two types of rice should be mixed in the ratio of:

Expensive rice : cheaper rice

As a check - average the two prices:

As the required price of P43 is slightly more than P42.50, a ratio of