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
strawberries and 16 pounds of grapes for a total revenue of
pound of strawberries and the price of each pound of grapes.
Answer Attempt 1 out of 10
Each pound of strawberries costs
strawberries and 37 pounds of grapes for a total revenue of
strawberries and 16 pounds of grapes for a total revenue of
pound of strawberries and the price of each pound of grapes.
Answer Attempt 1 out of 10
Each pound of strawberries costs
Ask by Reid Vega. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Each pound of strawberries costs $3.25 and each pound of grapes costs $2.50.
Solution
Let’s determine the prices of strawberries and grapes by setting up a system of equations based on Caleb’s sales.
Let:
-
= price per pound of strawberries -
= price per pound of grapes
From yesterday’s sales:
From today’s sales:
Step 1: Eliminate one variable
To eliminate
Subtract Equation 3 from Equation 1:
Step 2: Solve for
Substitute
Conclusion:
- Each pound of strawberries costs
. - Each pound of grapes costs
.
Final Answer:
Each pound of strawberries costs $3.25 and each pound of grapes costs $2.50.
Each pound of strawberries costs $3.25 and each pound of grapes costs $2.50.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Mind Expander
Let
From Caleb’s sales yesterday:
-
(Equation 1)
From today’s sales:
-
(Equation 2)
Now, let’s solve these equations.
First, simplify Equation 2:
Multiply Equation 2 by 2 to make it easier to eliminate
Now, subtract Equation 1 from Equation 3:
This simplifies to:
Now, solve for
So, each pound of grapes costs
Next, we can substitute
This simplifies to:
Now subtract 92.50 from both sides:
Dividing by 28 gives:
So, each pound of strawberries costs
Final Answer:
Each pound of strawberries costs
Each pound of strawberries costs
