A farmer is supplying a mix of seeds, nuts and dried apricots to a manufacturer of crunchy cereal bars.

The ingredients cost:
• dried apricots $£7$ per kg

• nuts $£6$ per kg

• seeds $£4$ per kg

He has been asked to supply a mix which costs $£5$ per kg.

What combination of ingredients could he supply?

Is there a relationship between the amounts of each ingredient that he could supply?