Use the diagram to solve for segments sw and wq. show your work and/or explain how you determined the answer

The intersecting chords theorem states that whenever two chords intersect, the product of their pieces is constant.

So, in this case, we have

Plugging your values, we have

This equation has solutions , but we can't choose , because it would lead to

So, the only feasible solutions is

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.