A$31.50 box of nuts contains almonds mixed with pecans. almonds cost $7.50/kg and pecans cost $9.00/kg. the number of kilograms of almonds is 3 times the number of kilograms of pecans find the number of kilograms of each kind of nut in the mixture.

The weight of pecans in the pack is 1 kg

And the weight of almonds = 3 kg

Step-by-step explanation:

Let the weight of  pecans in the box = x kg

So, the weight of almonds in the box = (3 x) kg

Cost per kg of almonds $7.50

Cost per kg of pecans = $9.00

Total Cost of the box = $31.50

So, according to the question:

$9.00(x)  + $7.50 (3 x)  = $31.50

or, 9x + 22.5x  = 31.50

⇒ 31.5x = 31.50

⇒ x =  31.50 / 31.50 = 1

Hence, the weight of pecans in the pack is 1 kg

And the weight of almonds = 3x = 3 x 1 = 3 kg

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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