Solving Systems with Cramer's Rule · Exercise 68

Use this scenario: A health-conscious company decides to make a trail mix out of almonds, dried cranberries, and chocolate-covered cashews. The nutritional information for these items is shown in the table.
$$\begin{array}{cccc}& \text{Fat (g)}& \text{Protein (g)}& \text{Carbohydrates (g)}\\ \text{Almonds (10)}& \text{6}& \text{2}& \text{3}\\ \text{Cranberries (10)}& \text{0.02}& \text{0}& \text{8}\\ \text{Cashews (10)}& \text{7}& \text{3.5}& \text{5.5}\end{array}$$

For the “energy-booster” mix, there are 1,000 pieces in the mix, containing 145 g of protein and 625 g of carbohydrates. If the number of almonds and cashews summed together is equivalent to the amount of cranberries, how many of each item is in the trail mix?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §11.8 Solving Systems with Cramer's Rule · Exercise 68