1. **State the problem:** We want to compare the cost per envelope between two shops: Letters2go and Value World.
2. **Given data:**
- Letters2go: 25 envelopes for 3.19
- Value World: 10 envelopes for 1.99, with a deal: buy 2 packs get 1 pack free
3. **Calculate cost per envelope for Letters2go:**
$$\text{Cost per envelope} = \frac{3.19}{25}$$
4. **Calculate cost per envelope for Value World:**
- Buying 2 packs means paying for 2 packs but getting 3 packs total (2 paid + 1 free).
- Total envelopes received: $$2 \times 10 + 10 = 30$$ envelopes
- Total cost paid: $$2 \times 1.99 = 3.98$$
- Cost per envelope:
$$\frac{3.98}{30}$$
5. **Evaluate the costs:**
- Letters2go cost per envelope:
$$\frac{3.19}{25} = 0.1276$$ (approx)
- Value World cost per envelope:
$$\frac{3.98}{30} = 0.1327$$ (approx)
6. **Conclusion:** Letters2go offers envelopes at approximately 0.1276 per envelope, which is slightly cheaper than Value World's approximately 0.1327 per envelope.
Therefore, Letters2go is the better buy based on cost per envelope.
Envelope Cost
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