Determine the price per pound of apples and cherries at the farmers' market.

Question

At a farmers' market, Frederick buys 3 pounds of apples and 5 pounds of cherries for $15.54. At the same farmers' market, Wilhelmina buys 12 pounds of apples and 6 pounds of cherries for $25.62. Determine the price per pound of apples and cherries at the farmers' market.

Answer 1

3A +5C = 1554

12A +20C =4(1554) =6216

12A +6C = 2562

subtract 3rd from 2nd equation

14C =6216-2562 = 3654

C = 3654/14 = $2.61 per pound of Cherries

A = (1554-5(261))/3

=(1554-1305)/3

=249/3

= $.83 = 83 cents per pound of Apples

12(.83)+6(2.61)

= 9.96+15.66

=2562

3(.83) +5(2.61)

= 2.49 + 1305

=1554