Price of 1 pound of peach is $ 1.25 and price of 1 pound of apple is $ 2
Solution:
Let "p" be the price of 1 pound of peach
Let "a" be the price of 1 pound of apple
Cameron sold 46 pounds of peaches and 19 pounds of apples for a total revenue of $95.50
Therefore, we can frame a equation as,
46 x price of 1 pound of peach + 19 x price of 1 pound of apple = 95.50
46p + 19a = 95.50 --------- eqn 1
Today he sold 23 pounds of peaches and 28 pounds of apples for a total revenue of $84.75
Therefore, we can frame a equation as,
23 x price of 1 pound of peach + 28 x price of 1 pound of apple = 84.75
23p + 28a = 84.75 --------- eqn 2
Let us solve eqn 1 and eqn 2
Multiply eqn 2 by 2
2(23p + 28a = 84.75)
46p + 56a = 169.5 ------- eqn 3
Subtract eqn 1 from eqn 3
46p + 56a = 169.5
46p + 19a = 95.50
( - ) ------------------------------
37a = 74
a = 2
Subtract a = 2 in eqn 1
46p + 19(2) = 95.50
46p + 38 = 95.50
46p = 95.50 - 38
46p = 57.5
p = 1.25
Thus price of 1 pound of peach is $ 1.25 and price of 1 pound of apple is $ 2