1. **Stating the problem:** We have two shops offering discounts on the same phone. We want to find: a) Which shop offers the lower price? b) The difference in the offer prices between the two shops. 2. **Understanding the offers:** - Low-cost Larry's: "1/3 Was £90 off today" means the original price was £90 and the discount is \(\frac{1}{3}\) of the original price. - Markdown Market: "Was £78 Save 20%" means the original price was £78 and the discount is 20% of £78. 3. **Calculating the offer price at Low-cost Larry's:** - Original price \(P_L = 90\) - Discount \(D_L = \frac{1}{3} \times 90 = 30\) - Offer price \(O_L = P_L - D_L = 90 - 30 = 60\) 4. **Calculating the offer price at Markdown Market:** - Original price \(P_M = 78\) - Discount \(D_M = 20\% \times 78 = 0.20 \times 78 = 15.6\) - Offer price \(O_M = P_M - D_M = 78 - 15.6 = 62.4\) 5. **Comparing the offer prices:** - Low-cost Larry's offer price: £60 - Markdown Market offer price: £62.4 Since £60 < £62.4, Low-cost Larry's has the lower offer price. 6. **Calculating the difference in offer prices:** - Difference \(= 62.4 - 60 = 2.4\) So, the phone is £2.4 cheaper at Low-cost Larry's. **Final answers:** - a) Low-cost Larry's has the lower offer price. - b) The difference in offer price is £2.4.