Question

Julie buys 2kg of apples and 7kg of pears for £12.70. The pears cost £1.30 per kilogram. What is the price per kilogram of the apples? You must show your working.

Answer 1

Answer:

£1.80/kg

Step-by-step explanation:

The total spent on apples and pears is £12.70, and this is the sum of the costs of the apples and the pears respectively:

£12.70 = (unit cost of apples)(2 kg) + (unit cost of pears)(7 kg), or

£12.70 = (unit cost of apples)(2 kg) + (£1.30/kg)(7 kg).

Solving for (unit cost of apples)(2 kg), we get £12.70 - (£1.30/kg)(7 kg), or:

(unit cost of apples)(2 kg) = £12.70 - £9.1 = £3.60

Solving for (unit cost of apples), we divide both sides by (2 kg), obtaining:

                                    £3.60

(unit cost of apples) = ---------- = £1.80/kg

                                       2 kg