Question

Marcus has $
to spend on fruit. He buys
mangos and spends the rest of the money on grapes. The store charges $
for each mango and $
per pound for grapes.

Which equation represents the number of pounds of grapes,
, Marcus bought and how many pounds of grapes did he buy?

Answer 1

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:

1. Let \( M \) represent the number of mangos Marcus buys.
2. Let \( P \) represent the price per mango.
3. Let \( G \) represent the price per pound of grapes.
4. Let \( B \) represent the total amount of money Marcus has.
5. 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.