Chapter 14, Problem 6MPS

To determine

To Find: The integral possibilities for the number of kg each used.

Answer to Problem 6MPS

The number of integral possibilities is $4$ .

Explanation of Solution

Given:

The worth of mixture of raisins and peanuts is $56.

The worth of raisins and peanuts are $3 per kg and $5 per kg.

Calculation:

Consider the number of raisins and the peanuts are $x$ and $y$ .

Then, the required equation is,

  $3x+5y=56$

The table for the integral solutions is shown in Table 1

Table 1

$x$	$y$
17	1
12	4
7	7
2	10

Thus, the number of integral possibilities is $4$ .