5Question: A Martian colony purchases 3 oxygen tanks and 2 water purifiers for 150 credits, while a research outpost buys 1 oxygen tank and 4 water purifiers for 130 credits. How many credits does a single oxygen tank cost? - Treasure Valley Movers

How Much Does a Single Oxygen Tank Cost on Mars?
A curiosity sparking deep questions about space economics — and what real-world insights this Martian trade reveals

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A Martian colony purchases 3 oxygen tanks and 2 water purifiers for 150 credits, while a research outpost buys 1 oxygen tank and 4 water purifiers for 130 credits. The question swirls in space economics: how much does a single oxygen tank truly cost? This simple puzzle isn’t just a curiosity — it reflects rising interest in off-world logistics, closed-loop life support systems, and the economics of sustaining human life beyond Earth. As global space agencies and private ventures plan deeper missions, understanding the cost structure behind essential supplies becomes both practical and fascinating.

When public interest spikes around extraterrestrial infrastructure, questions like “How much does a single oxygen tank cost?” move beyond casual trivia. This query highlights a growing conversation about sustainability, resource allocation, and real-world pricing models for life-critical equipment on Mars. While fictional, the scenario grounds itself in genuine concerns about resupply routes, scarcity ratios, and budgeting for long-term settlements — making it more than a puzzle: it’s a mirror to current and future off-planet economic challenges.

Let’s break down the supply breakdown to uncover how much one oxygen tank actually costs in this Martian market.

The Pricing Puzzle: A Clear Mathematical Model
We start with two distinct purchases reflecting different needs:

• Colony: 3 oxygen tanks + 2 water purifiers = 150 credits
• Outpost: 1 oxygen tank + 4 water purifiers = 130 credits

Let $ x $ = price of one oxygen tank, $ y $ = price of one water purifier.
From the data, we form the equations:

1. $ 3x + 2y = 150 $
2. $ x + 4y = 130 $

These equations represent real constraints in extraterrestrial budgeting: oxygen as primary life support, water as essential for hydration and food systems. Solving them reveals pricing logic behind Martian supply chains.

Using substitution or elimination, we isolate $ x $:
From equation (2), $ x = 130 - 4y $. Substitute into (1):
$ 3(130 - 4y) + 2y = 150 $
$ 390 - 12y + 2y = 150 $
$ -10y = -240 $ → $ y = 24 $

Now back-substitute:
$ x = 130 - 4(24) = 130 - 96 = 34 $

Each oxygen tank costs 34 credits. This