1180.43 – Gleepers & Blahmies

If a gleeper is as long as two bligs and a half-gleeper, and a blahmie is as long as two gleepers and a half-blahmie, and a fooster is as long as two blahmies and a half-fooster, then how many bligs long is a half-fooster?

Solution

1 gleeper=2 bligs+12 gleeper12 gleeper=2 bligs1 gleeper=4 bligs1 blahmie=2 gleepers+12 blahmie12 blahmie=2 gleepers1 blahmie=4 gleepers1 fooster=2 blahmies+12 fooster12 fooster=2 blahmies=2(4 gleepers)=8 gleepers=8(4 bligs)=32 bligs\begin{aligned}1 \text{ gleeper} &= 2 \text{ bligs} + \dfrac{1}{2} \text{ gleeper} \\ \dfrac{1}{2} \text{ gleeper} &= 2 \text{ bligs} \\ 1 \text{ gleeper} &= 4 \text{ bligs} \\ 1 \text{ blahmie} &= 2 \text{ gleepers} + \dfrac{1}{2} \text{ blahmie} \\ \dfrac{1}{2} \text{ blahmie} &= 2 \text{ gleepers} \\ 1 \text{ blahmie} &= 4 \text{ gleepers} \\ 1 \text{ fooster} &= 2 \text{ blahmies} + \dfrac{1}{2} \text{ fooster} \\ \dfrac{1}{2} \text{ fooster} &= 2 \text{ blahmies} \\ &= 2 (4 \text{ gleepers}) \\ &= 8 \text{ gleepers} \\ &= 8 (4 \text{ bligs}) \\ &= 32 \text{ bligs}\end{aligned}