Jorge and Lester are saving money. Together they have saved $60$60. Jorge saved $9$9 more than twice the amount Lester saved.

Which system of equations can be used to determine the amount Jorge saved, jj, and the amount Lester saved, ll?

A.

j + l = 60j + l = 60

j = 2l + 9j = 2l + 9

B.

j ‒ l = 60j ‒ l = 60

j = 2l + 9j = 2l + 9

C.

j ‒ l = 9j ‒ l = 9

j = 2l + 60j = 2l + 60

D.

j + l = 60j + l = 60

j = 2l ‒ 9


We need to identify the correct system of equations that describes the given situation:

1. **Total savings**: Jorge and Lester together have saved $60, which gives us the equation:
   \[
   j + l = 60
   \]
   where $ j $ represents the amount Jorge saved and $ l $ represents the amount Lester saved.

2. **Relationship between their savings**: We are told that Jorge saved $9 more than twice the amount Lester saved. This translates to:
   \[
   j = 2l + 9
   \]

Now, let's examine the options:

- **Option A**:
  \[
  j + l = 60 \quad \text{and} \quad j = 2l + 9
  \]
  This system matches our equations, so **Option A is correct**.

- **Option B**:
  \[
  j - l = 60 \quad \text{and} \quad j = 2l + 9
  \]
  The first equation is incorrect, since it doesn't represent the total savings.

- **Option C**:
  \[
  j - l = 9 \quad \text{and} \quad j = 2l + 60
  \]
  Both equations are incorrect.

- **Option D**:
  \[
  j + l = 60 \quad \text{and} \quad j = 2l - 9
  \]
  The second equation is incorrect, as Jorge saved $9 more than twice what Lester saved, not $9 less.

Thus, the correct system of equations is **Option A**.

---

Would you like further details on how to solve the system of equations? 

Here are 5 follow-up questions for practice:

1. How much did Lester save based on this system of equations?
2. How much did Jorge save?
3. How would you solve the system using substitution?
4. Can you express Lester's savings in terms of Jorge's savings?
5. What if Jorge saved $10 more than twice what Lester saved—how would the system change?

**Tip:** When solving systems of equations, substitution is often useful when one equation is already solved for a variable.

Jorge and Lester are saving money. Together they have saved $60. Jorge saved $9 more than twice the amount Lester saved. Which system of equations can be used to determine the amount Jorge saved, j, and the amount Lester saved, l?

Learn how to solve a system of equations where Jorge and Lester's combined savings equal $60, and Jorge saved $9 more than twice the amount Lester saved. This problem covers algebraic concepts and systems of equations, suitable for students in Grades 7-9.

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