the nuttyy shoppe has 10 kg of mixed pecans and cashews which sell for $8.40 per kilograms.cashews alone sell for $8 per kilogram,and pecans sell for $9 per kilogram.how many kilograms of pecans are there in the mix?
Your subject is math.
To solve this problem, we can set up a system of equations.
Let's assume the weight of pecans in the mix is 'x' kilograms. Since the total weight of the mix is 10 kilograms, the weight of cashews would be (10 - x) kilograms.
The price per kilogram for the mixed nuts is $8.40, so the total cost of the mix is 10 * $8.40 = $84.
The cost of the pecans (at $9 per kilogram) would be x * $9 = $9x.
The cost of the cashews (at $8 per kilogram) would be (10 - x) * $8 = $8(10 - x) = $80 - $8x.
Since the total cost of the mix is the sum of the costs of the pecans and cashews, we have the equation:
$84 = $9x + $80 - $8x.
Now, let's solve for x:
$84 = $9x + $80 - $8x.
$84 - $80 = $9x - $8x.
$4 = $x.
Therefore, x = 4 kilograms of pecans.
So, there are 4 kilograms of pecans in the mix.