Tim buys a torch and a battery the torch costs eleven times as much as the battery Tim pays with a £10 note and get £4.86 change How much does the battery cost

The battery cost = £0.43

Step-by-step explanation:

Tim buys a torch and a battery. The torch cost 11 times as much as the battery.

let

cost of battery = a

cost of torch = 11a

The amount he paid is £10 note and he got a change of £4.86. That means he bought both items for 10 - 4.86 = £5.14.

total cost = a + 11a

5.14 = a + 11a

5.14 = 12a

divide both sides by 12

a = 5.14/12

a = 0.42833333333

a = 0.428

a ≈ 0.43

The battery cost = £0.43