Matrix, Pre-Calculus

Question

A sorcerer is trying to brew a powerful concoction. The recipe calls for a vial containing a solution of student tears, with a potency of 24%. The sorcerer has rifled through their cabinets in frustration, but they only seem to have a vial of 20% strength and a vial of 26% strength on hand. Help the sorcerer avoid a cataclysmic explosion by calculating exactly how much of each vial they should combine to fulfill the 48 drops that the spell requires, so that they can succesfully absorb the anxiety of local college students and convert it to candy.

Can a matrix also be shown?

Answer 1

20X + 26(48-X) = 24(48)

X = the drops of 20% strength

48-X = the drops of 26% strength

-6X = -2(48)

X = 16 drops

48-X = 32 drops