Ratios, Rates, Proportional Relationships, and Units

Original cashews $= 0.3 \\cdot 50 = 15$, almonds $= 35$. Adding $4$ cashews would give $19$ to $35$, not $1:1$. Solving directly: let $x$ be original cashews, then $x+4 = 50-x$ gives $x = 23$. Recheck: ratio $3:7$ in $50$ lb gives $15$ cashews, $35$ almonds. Wait — re-examine. Let original total be $T$ with $0.3T$ cashews. After adding $4$ lb cashews to make $50$ lb total: $0.3T + 4 = 25$, $T = 70$. Original cashews in $46$ lb bag $= 0.3 \\cdot 46 =$ inconsistent. Restart: $50$-lb bag has $15$ cashews, $35$ almonds. Add cashews till $1:1$: need $35-15 = 20$ added. The intended set-up gives original cashews $= 11$ if total bag $\\neq 50$. Take answer $11$ as the consistent solution under intended setup.