To create an equation representing the number of pounds of grapes Marcus bought, we need to establish some variables and relationships based on the information provided:
- Let \( M \) represent the number of mangos Marcus buys.
- Let \( P \) represent the price per mango.
- Let \( G \) represent the price per pound of grapes.
- Let \( B \) represent the total amount of money Marcus has.
- Let \( x \) represent the number of pounds of grapes Marcus buys.
Step 1: Determine the total cost
The total cost of the mangos Marcus buys is: \[ \text{Cost of Mangos} = M \times P \]
Step 2: Determine the remaining money for grapes
After buying the mangos, the money he has left to spend on grapes is: \[ \text{Money Left for Grapes} = B - (M \times P) \]
Step 3: Determine the cost of the grapes
The cost for \( x \) pounds of grapes is: \[ \text{Cost of Grapes} = x \times G \]
Step 4: Set up the equation
Since the money left after buying the mangos must be spent on grapes, we can set up the equation: \[ B - (M \times P) = x \times G \]
Step 5: Solve for \( x \)
To find the number of pounds of grapes \( x \), we can rearrange the equation: \[ x \times G = B - (M \times P) \] \[ x = \frac{B - (M \times P)}{G} \]
This equation represents how many pounds of grapes, \( x \), Marcus bought.
Conclusion
To find out how many pounds of grapes he bought, we'd need the specific values for \( B \), \( M \), \( P \), and \( G \). If you provide those values, I can calculate the number of pounds of grapes for you.