Question

Supermarket A sells packs of 4 cans of energy drink at £3.40. Supermarket B sells the same drink in packs of 6, costing £5.40. Express the cost per can for a pack of four to the cost per can of six as a ratio. Give your answer in its simplest form.

a. 2/3
b. 3/2
c. 4/3
d. 3/4

Answer 1

The cost per can for a pack of four (£0.85 per can) to the cost per can of six (£0.90 per can) is expressed as a ratio of 17/18 after simplification, which was not among the provided options (a, b, c, d).

Step-by-step explanation:

To express the cost per can for a pack of four to the cost per can of six as a ratio, we calculate the cost per can for each pack and then form a ratio.

For Supermarket A, the cost per can in a pack of four at £3.40 is calculated as:

£3.40 ÷ 4 cans = £0.85 per can

For Supermarket B, the cost per can in a pack of six at £5.40 is calculated as:

£5.40 ÷ 6 cans = £0.90 per can

Now we form the ratio of the cost per can for a pack of four to the cost per can of six:

£0.85 per can (Supermarket A) / £0.90 per can (Supermarket B)

When forming this ratio, we have:

£0.85/£0.90 = 0.85/0.90 = 17/18

Therefore, none of the options (a, b, c, d) provided in the question are correct as the simplest form of the ratio is 17/18.