Problema Solution

The price of 2 pears and 6 apples is $14. The price

of 3 pears and 9 apples is $21. Can you determine the unit

prices for pears and apples? Explain

Answer provided by our tutors

let


p = the unit price for pears, p>0


a = the unit price for apples, a>0


The price of 2 pears and 6 apples is $14:


2p + 6a = 14 divide both sides by 2


p + 3a = 7


The price of 3 pears and 9 apples is $21:


3p + 9a = 21 divide both sides by 3


p + 3a = 7


p = 7 - 3a


we can not determine a unique unit price for pears and apples.