To find the difference in the price of 400 cm of ribbon between shop A and shop B, we will proceed step-by-step:
1. Determine the cost per centimeter for each shop:
- For shop A:
- The cost for 130 cm of ribbon is £1.56.
- Therefore, the cost per cm in shop A is: [tex]\[ \text{Cost per cm (Shop A)} = \frac{£1.56}{130 \text{ cm}} = £0.012 \text{ per cm} \][/tex]
- For shop B:
- The cost for 205 cm of ribbon is £1.64.
- Therefore, the cost per cm in shop B is: [tex]\[ \text{Cost per cm (Shop B)} = \frac{£1.64}{205 \text{ cm}} = £0.008 \text{ per cm} \][/tex]
2. Calculate the cost to buy 400 cm of ribbon in each shop:
- For shop A:
- The cost to buy 400 cm of ribbon is: [tex]\[ \text{Cost (Shop A)} = 400 \text{ cm} \times £0.012 \text{ per cm} = £4.80 \][/tex]
- For shop B:
- The cost to buy 400 cm of ribbon is: [tex]\[ \text{Cost (Shop B)} = 400 \text{ cm} \times £0.008 \text{ per cm} = £3.20 \][/tex]
3. Find the difference in cost between shop A and shop B:
- The difference in cost is: [tex]\[ \text{Difference} = £4.80 - £3.20 = £1.60 \][/tex]
Therefore, the difference in the price of 400 cm of ribbon between shop A and shop B is £1.60.
