Question

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.

Answer 1

The weight of pecans in the pack is 1 kg

And the weight of almonds = 3 kg

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