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Marketing is Math, Not Magic: The CPA Equation

Veronicah Kariuki

Veronicah Kariuki

Growth Lead

Jan 21, 2026 6 min read
Marketing is Math, Not Magic: The CPA Equation

The Artist vs. The Scientist

Most founders get marketing wrong. They think it is about writing a witty tweet, making a viral TikTok dancing video, or having a cool logo. They treat it like Art.

They attribute success to "Magic" or "Genius".

But if you look at the fastest-growing companies in history—Facebook, Uber, Dropbox, Slack—their early growth wasn't magic. It was Math.

Real marketing is Science. Real marketing is a Spreadsheet.

If you cannot model your marketing in Excel, you are not doing marketing; you are doing "Brand Awareness" (which is a fancy word for burning money).

The CPA Equation

The most important metric in your startup is not Revenue. It is CPA (Cost Per Acquisition).

This is the cost to buy one paying customer.

`CPA = Total Ad Spend / Number of New Paying Customers`

Let's look at a real example from a startup we audited recently: - Channel: Facebook Ads - Spend: $1,000 - Impressions: 10,000 (People who saw the ad) - Clicks: 100 (1% Click-Through Rate) - Signups: 10 (10% Landing Page Conversion) - Paid Users: 1 (10% Trial-to-Paid Conversion)

The Math: You spent $1,000 to get 1 customer. Your CPA is $1,000.

Can you afford your customer? (LTV)

Now, we introduce the second variable: LTV (Lifetime Value). How much will this customer pay you before they leave (churn)?

If your product costs $10/month and the user stays for 6 months, their LTV is $60.

The Math of Death: - CPA: $1,000 - LTV: $60 - Result: You lose $940 every time you make a sale.

This is why 'Unit Economics' kill startups. They grow fast, buying users for $1,000, but losing money on every user. They think they will "make it up in volume". You won't. You will just go bankrupt faster.

The Golden Ratio: 3:1

For a SaaS business to be sustainable, your LTV must be at least 3x your CPA.

If your LTV is $60, you cannot spend more than $20 to acquire a customer.

This constraint forces you to be creative. You can't just dump money into ads. You have to: 1. Improve Virality: Get users to refer friends (lowers CPA). 2. Improve SEO: Get free traffic (lowers CPA). 3. Improve Retention: Keep users longer (raises LTV). 4. Raise Prices: Charge more (raises LTV).

The Feedback Loop

Marketing is about testing hypotheses, just like code.

1. Hypothesis: "People care about speed more than price." 2. Test: Run Ad A ("Fastest App") vs Ad B ("Cheapest App"). 3. Data: Ad A has a 2% CTR. Ad B has a 0.5% CTR. 4. Conclusion: People want speed. Update the landing page.

The market will tell you what works. You just need to listen to the data. Stop guessing. Stop asking your friends what they think. Start calculating.

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