Richard + Betty = $990. After spending, their leftovers are equal. $$\frac{1}{4}$$B = $$\frac{2}{3}$$R gives B : R = 8 : 3.<br><br>[[model:questions/solutions/q4364.png]]<br><br>• Betty left → $$\frac{1}{4}$$B. Richard left → $$\frac{2}{3}$$R. They are equal.<br>• $$\frac{1}{4}$$B = $$\frac{2}{3}$$R ⇒ 3B = 8R ⇒ B : R = 8 : 3<br>• Total → 8u + 3u = 11u = $990 ⇒ 1u = $90<br>• Richard → 3u = $270. Spent $$\frac{1}{3}$$ → 1u = $90<br>• Betty → 8u = $720. Spent $$\frac{3}{4}$$ → 6u = $540<br><br>Richard spent $90 and Betty spent $540.<br>Check: Richard left = $180. Betty left = $720 − $540 = $180. Equal. ✓