Subjects algebra

Envelope Cost

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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.