Question

Caleb runs a farm stand that sells strawberries and grapes. Yesterday Caleb sold 28

pounds of strawberries and 37 pounds of grapes for a total revenue of $183.50. Today
he sold 14 pounds of strawberries and 16 pounds of grapes for a total revenue of
$85.50. Determine the price of each pound of strawberries and the price of each
pound of grapes.

Answer 1

• strawberries: $3.25 per pound
• grapes: $2.50 per pound

Explanation:

You want to know the prices of strawberries and grapes given these sales:

• 28 lb strawberries + 37 lb grapes for $183.50
• 14 lb strawberries + 16 lb grapes for $85.50

Equations

The sales can be described by the equations ...

28s + 37g = 183.50

14s + 16g = 85.50

Solution

Subtracting twice the second equation from the first, we have ...

(28s +37g) -2(14s +16g) = (183.50) -2(85.50)

5g = 12.50 . . . . . . . simplify

g = 2.50 . . . . . . . . . divide by 5

14s +16(2.50) = 85.50

14s = 45.50 . . . . . . subtract 40

s = 3.25 . . . . . . . . . divide by 14

Strawberries are $3.25 per pound, and grapes are $2.50 per pound.

<95141404393>