Final answer:
Gina can utilize a special offer for cola to get the cheapest total price for cola, burgers, and buns. The least common multiple of the pack sizes dictates she needs 36 of each item, resulting in a total cost of £33.85.
Step-by-step explanation:
To calculate the cheapest total price Gina pays for the cola, burgers, and buns, we need to take advantage of the special offer for cola and ensure the number of cans of cola, burgers, and buns are the same.
First, let's determine the base number of packs required. Since buns come in packs of 9 and this is the smallest quantity, we'll use it as a base for our calculations to make sure we have the same number of each item. The least common multiple (LCM) of 6, 12, and 9 is 36. This means Gina must aim for 36 of each item.
She will need:
- 6 packs of cola (6 cans per pack)
- 3 packs of burgers (12 burgers per pack)
- 4 packs of buns (9 buns per pack)
With the cola offer, she can buy 4 packs and get 2 free, thus only needing to pay for 4 packs of cola.
The total cost is:
Cola: 4 packs × £2.95 = £11.80
Burgers: 3 packs × £4.95 = £14.85
Buns: 4 packs × £1.80 = £7.20
Total cost: £11.80 (cola) + £14.85 (burgers) + £7.20 (buns) = £33.85
Therefore, the cheapest total price Gina can pay for an equal number of cans of cola, burgers, and buns while utilizing the special offer is £33.85.